diff --git a/colossalai/kernel/triton/ops.py b/colossalai/kernel/triton/ops.py
new file mode 100644
index 000000000..5e8d4ba3e
--- /dev/null
+++ b/colossalai/kernel/triton/ops.py
@@ -0,0 +1,209 @@
+import torch
+from torch import nn
+
+try:
+    import triton
+    import triton.language as tl
+    HAS_TRITON = True
+except ImportError:
+    HAS_TRITON = False
+    print("please install triton from https://github.com/openai/triton")
+
+if HAS_TRITON:
+    from .qkv_matmul_kernel import qkv_gemm_4d_kernel
+    from .softmax_kernel import softmax_kernel
+
+    def self_attention_forward_without_fusion(q: torch.Tensor, k: torch.Tensor, v: torch.Tensor, input_mask: torch.Tensor, scale: float):
+        r""" A function to do QKV Attention calculation by calling GEMM and softmax triton kernels 
+        Args:
+            q (torch.Tensor): Q embedding in attention layer, shape should be (batch, seq_len, num_heads, head_size)
+            k (torch.Tensor): K embedding in attention layer, shape should be (batch, seq_len, num_heads, head_size)
+            v (torch.Tensor): V embedding in attention layer, shape should be (batch, seq_len, num_heads, head_size)
+            input_mask (torch.Tensor): mask for softmax layer, shape should be (batch, num_heads, seq_lem, seq_len)
+            scale: the float scale value which is used to multiply with Q*K^T before doing softmax
+
+        Return:
+            output (Torch.Tensor): The output shape is (batch, seq_len, num_heads, head_size)
+        """
+        assert len(q.shape) == 4, "the shape of q val must be 4"
+        batches, M, H, K = q.shape
+        assert q.shape == k.shape, "the shape of q and the shape of k must be equal"
+        assert q.shape == v.shape, "the shape of q and the shape of v must be equal"
+        assert q.shape[-1] == k.shape[-1], "the last dimension of q and k must be equal"
+
+        N = k.shape[1]
+
+        # head_size * num_of_head
+        d_model = q.shape[-1] * q.shape[-2]
+
+        score_output = torch.empty(
+            (batches, H, M, N), device=q.device, dtype=q.dtype)
+
+        grid = lambda meta: (
+            batches,
+            H,
+            triton.cdiv(M, meta["BLOCK_SIZE_M"]) *
+            triton.cdiv(N, meta["BLOCK_SIZE_N"]),
+        )
+
+        qkv_gemm_4d_kernel[grid](
+            q, k, score_output,
+            M, N, K,
+            q.stride(0), q.stride(2), q.stride(1), q.stride(3),
+            k.stride(0), k.stride(2), k.stride(3), k.stride(1),
+            score_output.stride(0), score_output.stride(1), score_output.stride(2), score_output.stride(3),
+            scale=scale,
+            # currently manually setting, later on we can use auto-tune config to match best setting
+            BLOCK_SIZE_M=64,
+            BLOCK_SIZE_N=32,
+            BLOCK_SIZE_K=32,
+            GROUP_SIZE_M=8,
+        )
+        
+        softmax_output = torch.empty(
+            score_output.shape, device=score_output.device, dtype=score_output.dtype)
+        score_output_shape = score_output.shape
+
+        score_output = score_output.view(-1, score_output.shape[-1])
+        n_rows, n_cols = score_output.shape
+
+        if n_rows <= 350000:
+            
+            block_size = max(triton.next_power_of_2(n_cols), 2)
+            num_warps = 4
+            if block_size >= 4096:
+                num_warps = 16
+            elif block_size >= 2048:
+                num_warps = 8
+            else:
+                num_warps = 4
+
+            softmax_kernel[(n_rows, )](
+                softmax_output,
+                score_output,
+                score_output.stride(0),
+                n_cols,
+                mask_ptr = input_mask,
+                num_warps=num_warps,
+                BLOCK_SIZE=block_size,
+            )
+
+        else:
+            #TODO: change softmax kernel functions to make it suitable for large size dimension
+            softmax_output = torch.nn.functional.softmax(score_output, dim=-1)
+            softmax_output = softmax_output.view(*score_output_shape)
+
+        batches, H, M, K = softmax_output.shape
+        N = v.shape[-1]
+
+        output = torch.empty(
+            (batches, M, H, N), device=softmax_output.device, dtype=softmax_output.dtype)
+
+        grid = lambda meta: (
+            batches,
+            H,
+            triton.cdiv(M, meta["BLOCK_SIZE_M"]) *
+            triton.cdiv(N, meta["BLOCK_SIZE_N"]),
+        )
+
+        qkv_gemm_4d_kernel[grid](
+            softmax_output, v, output,
+            M, N, K,
+            softmax_output.stride(0),
+            softmax_output.stride(1),
+            softmax_output.stride(2),
+            softmax_output.stride(3),
+            v.stride(0),
+            v.stride(2),
+            v.stride(1),
+            v.stride(3),
+            output.stride(0),
+            output.stride(2),
+            output.stride(1),
+            output.stride(3),
+            BLOCK_SIZE_M=128,
+            BLOCK_SIZE_N=64,
+            BLOCK_SIZE_K=64,
+            GROUP_SIZE_M=8,
+            scale=-1,
+        )
+        return output.view(batches, -1, d_model)
+
+
+    def self_attention_compute_using_triton(qkv,
+                                            input_mask,
+                                            layer_past,
+                                            alibi,
+                                            scale,
+                                            head_size,
+                                            triangular=False,
+                                            use_flash=False):
+
+        assert qkv.is_contiguous()
+        assert alibi is None, "current triton self-attention does not support alibi"
+        batches = qkv.shape[0]
+        d_model = qkv.shape[-1] // 3
+        num_of_heads = d_model // head_size
+
+        q = qkv[:, :, :d_model]
+        k = qkv[:, :, d_model:d_model * 2]
+        v = qkv[:, :, d_model * 2:]
+        q = q.view(batches, -1, num_of_heads, head_size)
+        k = k.view(batches, -1, num_of_heads, head_size)
+        v = v.view(batches, -1, num_of_heads, head_size)
+
+        data_output_triton = self_attention_forward_without_fusion(
+            q, k, v, input_mask, scale)
+
+        return data_output_triton
+
+
+    def softmax(input: torch.Tensor, mask: torch.Tensor = None, dim=-1) -> torch.Tensor:
+        if mask is not None:
+            assert input[-1] == mask[-1], "the last dimentions should be the same for input and mask"
+        assert dim == -1 or dim == len(input.shape)-1, "currently softmax layer only support last dimention"
+        
+        hidden_dim = input.shape[-1]
+        output = torch.empty_like(input)
+        input = input.view(-1, hidden_dim)
+        if mask is not None: 
+            mask = mask.view(-1, hidden_dim)
+            assert input.shape[0] == mask.shape[0], "the fist dimention of mask and input should be the same"
+
+        num_rows, num_cols = input.shape
+        block_size = max(triton.next_power_of_2(num_cols), 2)
+        num_warps = 16
+        if block_size >= 4096:
+            num_warps = 16
+        elif block_size >= 2048:
+            num_warps = 8
+        else:
+            num_warps = 4
+
+        if num_rows <= 350000: 
+            grid = (num_rows,)
+            softmax_kernel[grid](output, input, input.stride(0), num_cols, mask, BLOCK_SIZE = block_size, num_warps=num_warps)
+        else:
+            grid = lambda meta: ()
+
+            grid = lambda meta: (
+                triton.cdiv(num_rows, meta["BLOCK_M"]),
+            )
+
+            BLOCK_M = 32
+            if block_size >= 4096:
+                BLOCK_M = 4
+            elif block_size >= 2048:
+                BLOCK_M = 8
+
+            softmax_kernel_2[grid](output_ptr = output, 
+                            input_ptr = input, 
+                            row_stride = input.stride(0), 
+                            n_rows = num_rows, 
+                            n_cols = num_cols, 
+                            mask_ptr = mask, 
+                            # currently manually setting up size
+                            BLOCK_M = 32, 
+                            BLOCK_SIZE = block_size)
+
+        return output
\ No newline at end of file
diff --git a/colossalai/kernel/triton/qkv_matmul_kernel.py b/colossalai/kernel/triton/qkv_matmul_kernel.py
new file mode 100644
index 000000000..62fc6bba0
--- /dev/null
+++ b/colossalai/kernel/triton/qkv_matmul_kernel.py
@@ -0,0 +1,109 @@
+import torch
+try:
+    import triton
+    import triton.language as tl
+    HAS_TRITON = True
+except ImportError:
+    HAS_TRITON = False
+    print("please install triton from https://github.com/openai/triton")
+
+
+if HAS_TRITON:
+    '''
+    this kernel function is modified from https://triton-lang.org/main/getting-started/tutorials/03-matrix-multiplication.html
+    '''
+    @triton.jit
+    def qkv_gemm_4d_kernel(
+        a_ptr,
+        b_ptr,
+        c_ptr,
+        M,
+        N,
+        K,
+        stride_ab,
+        stride_ah,
+        stride_am,
+        stride_ak,
+        stride_bb,
+        stride_bh,
+        stride_bk,
+        stride_bn,
+        stride_cb,
+        stride_ch,
+        stride_cm,
+        stride_cn,
+        scale,
+        # Meta-parameters
+        BLOCK_SIZE_M : tl.constexpr = 64,
+        BLOCK_SIZE_N : tl.constexpr = 32,
+        BLOCK_SIZE_K : tl.constexpr = 32,
+        GROUP_SIZE_M : tl.constexpr = 8,
+    ):
+        r""" A kernel function which is used to do batch-matmul for Q*K^T or score_matrix * V for attention layer, 
+            where score_matrix is softmax(Q*V^T/sqrt(hidden_size))
+        Args:
+            a_ptr(torch.Tensor): pointer to input tensor array (bs, M, h, K) or (bs, h, M, K)
+            b_ptr(torch.Tensor): pointer to input tensor array (bs, N, h, K) or (bs, h, N, K)
+            c_ptr(torch.Tensor): pointer to output tensor array (bs, M, h, N) or (bs, h, M, N)
+            stride_ab(tl.constexpr): stride for bs-dimention for tensor array A
+            stride_ah(tl.constexpr): stride for h-dimention for tensor array A
+            stride_am(tl.constexpr): stride for m-dimention for tensor array A
+            stride_ak(tl.constexpr): stride for k-dimention for tensor array A
+            stride_bb(tl.constexpr): stride for bs-dimention for tensor array B
+            stride_bh(tl.constexpr): stride for h-dimention for tensor array B
+            stride_bk(tl.constexpr): stride for k-dimention for tensor array B
+            stride_bn(tl.constexpr): stride for n-dimention for tensor array B
+            stride_cb(tl.constexpr): stride for bs-dimention for tensor array output 
+            stride_ch(tl.constexpr): stride for h-dimention for tensor array output
+            stride_cm(tl.constexpr): stride for m-dimention for tensor array output
+            stride_cn(tl.constexpr): stride for n-dimention for tensor array output
+            BLOCK_SIZE_M : tiling size for M-dimension of tensor Array a
+            BLOCK_SIZE_N : tiling size for N-dimension of tensor Array b
+            BLOCK_SIZE_K : tiling size for K-dimension of a and b
+            GROUP_SIZE_M : group size for reducing cache miss, more details: 
+        """
+
+        num_pid_m = tl.cdiv(M, BLOCK_SIZE_M)
+        num_pid_n = tl.cdiv(N, BLOCK_SIZE_N)
+        batch = tl.program_id(axis = 0)
+        head = tl.program_id(axis = 1)
+        pid = tl.program_id(axis = 2)
+
+        # the following is from tutorial: https://triton-lang.org/main/getting-started/tutorials/03-matrix-multiplication.html
+        num_pid_in_group = GROUP_SIZE_M * num_pid_n
+        group_id = pid // num_pid_in_group
+        first_pid_m = group_id * GROUP_SIZE_M
+        group_size_m = min(num_pid_m - first_pid_m, GROUP_SIZE_M)
+        pid_m = first_pid_m + (pid % group_size_m)
+        pid_n = (pid % num_pid_in_group) // group_size_m
+
+
+        offs_am = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+        offs_bn = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+        offs_k = tl.arange(0, BLOCK_SIZE_K)
+        a_ptrs = (a_ptr + batch * stride_ab + head * stride_ah +
+                (offs_am[:, None] * stride_am + offs_k[None, :] * stride_ak))
+        b_ptrs = (b_ptr + batch * stride_bb + head * stride_bh +
+                (offs_k[:, None] * stride_bk + offs_bn[None, :] * stride_bn))
+
+        accumulator = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32)
+        for k in range(0, K, BLOCK_SIZE_K):
+            a_mask = (offs_am[:, None] < M) & (offs_k[None, :] + k < K)
+            b_mask = (offs_k[:, None] + k < K) & (offs_bn[None, :] < N)
+            a = tl.load(a_ptrs, mask=a_mask, other=0.)
+            b = tl.load(b_ptrs, mask=b_mask, other=0.)
+            accumulator += tl.dot(a, b)
+            a_ptrs += BLOCK_SIZE_K * stride_ak
+            b_ptrs += BLOCK_SIZE_K * stride_bk
+        
+        accumulator = accumulator.to(c_ptr.dtype.element_ty)
+        if scale > 0:
+            accumulator = accumulator * scale.to(c_ptr.dtype.element_ty)
+            
+
+        offs_accumu_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)
+        offs_accumu_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)
+        c_ptrs = (c_ptr + batch * stride_cb + head * stride_ch + stride_cm * offs_accumu_m[:, None] +
+                stride_cn * offs_accumu_n[None, :])
+        accumulator_mask = (offs_accumu_m[:, None] < M) & (offs_accumu_n[None, :] < N)
+        tl.store(c_ptrs, accumulator, mask=accumulator_mask)
diff --git a/colossalai/kernel/triton/softmax_kernel.py b/colossalai/kernel/triton/softmax_kernel.py
new file mode 100644
index 000000000..c215890ba
--- /dev/null
+++ b/colossalai/kernel/triton/softmax_kernel.py
@@ -0,0 +1,44 @@
+try:
+    import triton
+    import triton.language as tl
+    HAS_TRITON = True
+except ImportError:
+    HAS_TRITON = False
+    print("please install triton from https://github.com/openai/triton")
+
+if HAS_TRITON:
+    '''
+    softmax kernel is modified based on 
+    https://github.com/openai/triton/blob/34817ecc954a6f4ca7b4dfb352fdde1f8bd49ca5/python/tutorials/02-fused-softmax.py
+    '''
+    @triton.jit
+    def softmax_kernel(output_ptr, input_ptr, row_stride, n_cols, mask_ptr, BLOCK_SIZE: tl.constexpr):
+        r""" the kernel function for implementing softmax operator
+        Args:
+            output_ptr: the output after finishing softmax operation, (N, hidden_dim)
+            input_ptr: the tensor of input, shape should be (N, hidden_dim)
+            n_cols(tl.constexpr): the number of cols of input
+            BLOCK_SIZE(tl.constexpr): the block_size of your hidden_dim dimension, typically BLOCK_SIZE >= hidden_dim  
+        """
+        row_idx = tl.program_id(0)
+        row_start_ptr = input_ptr + row_idx * row_stride
+        col_offsets = tl.arange(0, BLOCK_SIZE)
+        input_ptrs = row_start_ptr + col_offsets
+        row = tl.load(input_ptrs, mask=col_offsets < n_cols, other=-float('inf')).to(tl.float32)
+        row_minus_max = row - tl.max(row, axis=0)
+
+        if mask_ptr is not None:
+            # load mask into SRAM 
+            mask_ptrs = (mask_ptr + (row_indx * row_stride)) + col_offsets
+            mask = tl.load(mask_ptrs, mask=col_offsets < n_cols, other=0).to(tl.float32)
+
+            # update 
+            row_minus_max = row_minus_max + mask
+
+        numerator = tl.exp(row_minus_max)
+        denominator = tl.sum(numerator, axis=0)
+        softmax_output = numerator / denominator
+        output_row_start_ptr = output_ptr + row_idx * row_stride
+        output_ptrs = output_row_start_ptr + col_offsets
+        # Write back output to DRAM
+        tl.store(output_ptrs, softmax_output, mask=col_offsets < n_cols)
\ No newline at end of file
diff --git a/tests/test_kernels/test_self_attention.py b/tests/test_kernels/test_self_attention.py
new file mode 100644
index 000000000..b316404a5
--- /dev/null
+++ b/tests/test_kernels/test_self_attention.py
@@ -0,0 +1,136 @@
+import pytest
+from packaging import version
+import torch
+from torch import nn 
+import torch.nn.functional as F
+
+from colossalai.kernel.triton.ops import self_attention_compute_using_triton
+from colossalai.kernel.triton.qkv_matmul_kernel import qkv_gemm_4d_kernel
+
+try:
+    import triton
+    import triton.language as tl
+    HAS_TRITON = True
+except ImportError:
+    HAS_TRITON = False
+    print("please install triton from https://github.com/openai/triton")
+
+TRITON_CUDA_SUPPORT = version.parse(torch.version.cuda) > version.parse('11.4')
+
+@pytest.mark.skipif(not TRITON_CUDA_SUPPORT, reason="triton requires cuda version to be higher than 11.4")
+def test_qkv_matmul():
+    qkv = torch.randn((4, 24, 64*3), device="cuda", dtype=torch.float16)
+    scale = 1.2
+    head_size = 32
+    batches = qkv.shape[0]
+    d_model = qkv.shape[-1] // 3
+    num_of_heads = d_model // head_size
+
+    q = qkv[:, :, :d_model]
+    k = qkv[:, :, d_model:d_model * 2]
+
+    q = q.view(batches, -1, num_of_heads, head_size)
+    k = k.view(batches, -1, num_of_heads, head_size)
+    q_copy = q.clone()
+    k_copy = k.clone()
+    q = torch.transpose(q, 1, 2).contiguous()
+    k = torch.transpose(k, 1, 2).contiguous()
+    k = torch.transpose(k, 2, 3).contiguous()
+
+    torch_ouput = torch.einsum('bnij,bnjk->bnik', q, k)
+    torch_ouput *= 1.2
+
+    q, k = q_copy, k_copy
+    batches, M, H, K = q.shape
+    N = k.shape[1]
+    score_output = torch.empty(
+    (batches, H, M, N), device=q.device, dtype=q.dtype)
+
+    grid = lambda meta: (
+        batches,
+        H,
+        triton.cdiv(M, meta["BLOCK_SIZE_M"]) *
+        triton.cdiv(N, meta["BLOCK_SIZE_N"]),
+    )
+
+    K = q.shape[3]
+    qkv_gemm_4d_kernel[grid](
+        q, k, score_output,
+        M, N, K,
+        q.stride(0), q.stride(2), q.stride(1), q.stride(3),
+        k.stride(0), k.stride(2), k.stride(3), k.stride(1),
+        score_output.stride(0), score_output.stride(1), score_output.stride(2), score_output.stride(3),
+        scale=scale,
+        # currently manually setting, later on we can use auto-tune config to match best setting
+        BLOCK_SIZE_M=64,
+        BLOCK_SIZE_N=32,
+        BLOCK_SIZE_K=32,
+        GROUP_SIZE_M=8,
+    )
+
+    check = torch.allclose(torch_ouput.cpu(), score_output.cpu(), rtol=1e-3, atol=1e-5)
+    assert check is True, "the outputs of triton and torch are not matched"
+    
+
+def self_attention_compute_using_torch(qkv,
+                                       input_mask,
+                                       scale,
+                                       head_size
+                                       ):
+
+    batches = qkv.shape[0]
+    d_model = qkv.shape[-1] // 3
+    num_of_heads = d_model // head_size
+    
+    q = qkv[:, :, :d_model]
+    k = qkv[:, :, d_model:d_model * 2]
+    v = qkv[:, :, d_model * 2:]
+    q = q.view(batches, -1, num_of_heads, head_size)
+    k = k.view(batches, -1, num_of_heads, head_size)
+    v = v.view(batches, -1, num_of_heads, head_size)
+
+    q = torch.transpose(q, 1, 2).contiguous()
+    k = torch.transpose(k, 1, 2).contiguous()
+    v = torch.transpose(v, 1, 2).contiguous()
+
+    k = torch.transpose(k, -1, -2).contiguous()
+
+    score_output = torch.einsum('bnij,bnjk->bnik', q, k)
+    score_output *= scale
+
+    softmax_output = F.softmax(score_output, dim = -1)
+    res = torch.einsum('bnij,bnjk->bnik', softmax_output, v)
+    res = torch.transpose(res, 1, 2)
+    res = res.contiguous()
+
+
+    return res.view(batches, -1, d_model), score_output, softmax_output
+
+@pytest.mark.skipif(not TRITON_CUDA_SUPPORT, reason="triton requires cuda version to be higher than 11.4")
+def test_self_atttention_test():
+
+    qkv = torch.randn((4, 24, 64*3), device="cuda", dtype=torch.float16)
+    data_output_torch, score_output_torch, softmax_output_torch = self_attention_compute_using_torch(
+                                                           qkv.clone(), 
+                                                           input_mask = None, 
+                                                           scale = 1.2, 
+                                                           head_size = 32
+                                                           )
+
+    data_output_triton = self_attention_compute_using_triton(
+                                                            qkv.clone(),
+                                                            alibi=None,
+                                                            head_size=32,
+                                                            scale=1.2,
+                                                            input_mask=None,
+                                                            layer_past=None,
+                                                            use_flash=False,
+                                                            triangular=True)
+
+    check = torch.allclose(data_output_triton.cpu(), data_output_torch.cpu(), rtol=1e-4, atol=1e-2)
+    assert check is True, "the triton output is not matched with torch output"
+
+
+if __name__ == "__main__":
+    test_qkv_matmul()
+    test_self_atttention_test()
\ No newline at end of file
diff --git a/tests/test_kernels/test_softmax.py b/tests/test_kernels/test_softmax.py
new file mode 100644
index 000000000..843d811d0
--- /dev/null
+++ b/tests/test_kernels/test_softmax.py
@@ -0,0 +1,27 @@
+import pytest
+from packaging import version
+import torch
+from torch import nn
+
+from colossalai.kernel.triton.ops import softmax
+
+TRITON_CUDA_SUPPORT = version.parse(torch.version.cuda) > version.parse('11.4')
+
+@pytest.mark.skipif(not TRITON_CUDA_SUPPORT, reason="triton requires cuda version to be higher than 11.4")
+def test_softmax_op():
+    data_samples = [
+                        torch.randn((3, 4, 5, 32), device = "cuda", dtype = torch.float32),
+                        torch.randn((320, 320, 78), device = "cuda", dtype = torch.float32),
+                        torch.randn((2345, 4, 5, 64), device = "cuda", dtype = torch.float16)
+                    ]
+
+    for data in data_samples:
+        module = nn.Softmax(dim = -1)
+        data_torch_out = module(data)
+        data_triton_out = softmax(data)
+        check = torch.allclose(data_torch_out.cpu(), data_triton_out.cpu(), rtol=1e-3, atol=1e-3)
+        assert check is True, "softmax outputs from triton and torch are not matched"
+
+
+if __name__ == "__main__":
+    test_softmax_op()
\ No newline at end of file