diff --git a/colossalai/fx/passes/algorithms/__init__.py b/colossalai/fx/passes/algorithms/__init__.py
new file mode 100644
index 000000000..943fbd867
--- /dev/null
+++ b/colossalai/fx/passes/algorithms/__init__.py
@@ -0,0 +1 @@
+from .ckpt_solver_chen import chen_greedy, chen_sqrtn
diff --git a/colossalai/fx/passes/algorithms/ckpt_solver_chen.py b/colossalai/fx/passes/algorithms/ckpt_solver_chen.py
new file mode 100644
index 000000000..d28e6fa1a
--- /dev/null
+++ b/colossalai/fx/passes/algorithms/ckpt_solver_chen.py
@@ -0,0 +1,62 @@
+import torch
+from torch.fx import GraphModule
+
+__all__ = ['chen_greedy', 'chen_sqrtn']
+
+
+def chen_greedy(gm: GraphModule, B: int):
+    """
+    This is the simple implementation of Algorithm 3 in https://arxiv.org/abs/1604.06174.
+
+    Usage:
+        B = 5 * 1024 * 1024 * 1024  # An approximate memory budget of 5GB
+        model = resnet18()
+        input_sample = torch.rand(4, 3, 224, 224)
+        gm = symbolic_trace(model)
+        MetaInfoProp(gm).run(input_sample)
+        gm = chen_greedy(gm, B)
+
+    Args:
+        gm (GraphModule): The module to add checkpoints
+        B (int): The approximate memory budget for this module.
+    """
+    gm.graph.lint()    # make sure nodes are in topological order
+    temp = 0
+    x = 0
+    idx = 0
+    budget = B
+    for n in gm.graph.nodes:
+        B -= getattr(n, 'param_size')
+        assert B > 0, f'The memory budget {budget / 1024 ** 3:.2f} GB is not enough for model parameters of {gm}'
+    for n in gm.graph.nodes:
+        temp += getattr(n, 'activation_size')
+        if temp > B:
+            x += getattr(n, 'activation_size')
+            temp = x
+            setattr(n, 'activation_checkpoint', str(idx))
+            idx += 1
+    gm.recompile()
+    return gm
+
+
+def chen_sqrtn(gm: GraphModule):
+    """
+    This is the theoretical optimal strategy in https://arxiv.org/abs/1604.06174.
+
+    Usage:
+        model = resnet18()
+        input_sample = torch.rand(4, 3, 224, 224)
+        gm = symbolic_trace(model)
+        MetaInfoProp(gm).run(input_sample)
+        gm = chen_sqrtn(gm)
+
+    Args:
+        gm (GraphModule): The module to add checkpoints
+    """
+    gm.graph.lint()    # make sure nodes are in topological order
+    k = int(len(gm.graph.nodes)**0.5)    # take approximately sqrt(n) checkpoints
+    for idx, n in enumerate(gm.graph.nodes):
+        if (idx + 1) % k == 0:
+            setattr(n, 'activation_checkpoint', str((idx + 1) // k))
+    gm.recompile()
+    return gm
diff --git a/tests/test_fx/test_ckpt_solvers/test_ckpt_torchvision.py b/tests/test_fx/test_ckpt_solvers/test_ckpt_torchvision.py
new file mode 100644
index 000000000..4bf3128c6
--- /dev/null
+++ b/tests/test_fx/test_ckpt_solvers/test_ckpt_torchvision.py
@@ -0,0 +1,40 @@
+from colossalai.fx.passes.algorithms import chen_greedy, chen_sqrtn
+import torch
+import torchvision.models as tm
+from colossalai.fx import ColoTracer
+from torch.fx import GraphModule
+from colossalai.fx.passes.meta_info_prop import MetaInfoProp
+from functools import partial
+import pytest
+
+SOLVERS = [partial(chen_greedy, B=1024 * 1024 * 64), chen_sqrtn]
+
+
+def _is_activation_checkpoint_available(gm: GraphModule):
+    for n in gm.graph.nodes:
+        if hasattr(n, 'activation_checkpoint') and getattr(n, 'activation_checkpoint') is not None:
+            return True
+
+
+def test_ckpt_solver():
+    MODEL_LIST = [tm.resnet18, tm.densenet121]
+
+    torch.backends.cudnn.deterministic = True
+
+    tracer = ColoTracer()
+    data = torch.rand(1, 3, 224, 224)
+
+    for solver in SOLVERS:
+        for model_cls in MODEL_LIST:
+            model = model_cls()
+            graph = tracer.trace(root=model)
+            gm = GraphModule(model, graph, model.__class__.__name__)
+            MetaInfoProp(gm).run(data)
+            gm = solver(gm)
+            assert _is_activation_checkpoint_available(
+                gm), f"Solver {solver} did not annotate {model_cls} with any activation checkpoints"
+            assert torch.allclose(gm(data), model(data))
+
+
+if __name__ == '__main__':
+    test_ckpt_solver()