diff --git a/test/e2e/deployment.go b/test/e2e/deployment.go
index d45842c8c3..6d0944cc00 100644
--- a/test/e2e/deployment.go
+++ b/test/e2e/deployment.go
@@ -95,7 +95,8 @@ var _ = framework.KubeDescribe("Deployment", func() {
 	It("overlapping deployment should not fight with each other", func() {
 		testOverlappingDeployment(f)
 	})
-	It("lack of progress should be reported in the deployment status", func() {
+	// Flaky issue #39785.
+	It("lack of progress should be reported in the deployment status [Flaky]", func() {
 		testFailedDeployment(f)
 	})
 	It("iterative rollouts should eventually progress", func() {
diff --git a/test/e2e/pods.go b/test/e2e/pods.go
index ae7fc4f4c8..2cb4f889b0 100644
--- a/test/e2e/pods.go
+++ b/test/e2e/pods.go
@@ -45,7 +45,8 @@ var _ = framework.KubeDescribe("Pods Extended", func() {
 		BeforeEach(func() {
 			podClient = f.PodClient()
 		})
-		It("should be submitted and removed [Conformance]", func() {
+		// Flaky issue #36821.
+		It("should be submitted and removed [Conformance] [Flaky]", func() {
 			By("creating the pod")
 			name := "pod-submit-remove-" + string(uuid.NewUUID())
 			value := strconv.Itoa(time.Now().Nanosecond())