diff --git a/Makefile b/Makefile
index 5ba6f1f29..9138decfb 100644
--- a/Makefile
+++ b/Makefile
@@ -26,8 +26,8 @@ verify-kustomize: \
 	lint-kustomize \
 	test-unit-kustomize-all \
 	test-examples-kustomize-against-HEAD \
-	test-examples-kustomize-against-3.9 \
-	test-examples-kustomize-against-3.8
+	test-examples-kustomize-against-4.0 \
+	test-examples-kustomize-against-3.10
 
 # The following target referenced by a file in
 # https://github.com/kubernetes/test-infra/tree/master/config/jobs/kubernetes-sigs/kustomize
@@ -39,8 +39,8 @@ prow-presubmit-check: \
 	test-unit-cmd-all \
 	test-go-mod \
 	test-examples-kustomize-against-HEAD \
-	test-examples-kustomize-against-3.9 \
-	test-examples-kustomize-against-3.8
+	test-examples-kustomize-against-4.0 \
+	test-examples-kustomize-against-3.10
 
 .PHONY: verify-kustomize-e2e
 verify-kustomize-e2e: test-examples-e2e-kustomize
@@ -281,12 +281,12 @@ test-examples-kustomize-against-HEAD: $(MYGOBIN)/kustomize $(MYGOBIN)/mdrip
 	./hack/testExamplesAgainstKustomize.sh HEAD
 
 .PHONY:
-test-examples-kustomize-against-3.9: $(MYGOBIN)/mdrip
-	./hack/testExamplesAgainstKustomize.sh v3.9.3
+test-examples-kustomize-against-4.0: $(MYGOBIN)/mdrip
+	./hack/testExamplesAgainstKustomize.sh v4.0.0
 
 .PHONY:
-test-examples-kustomize-against-3.8: $(MYGOBIN)/mdrip
-	./hack/testExamplesAgainstKustomize.sh v3.8.10
+test-examples-kustomize-against-3.10: $(MYGOBIN)/mdrip
+	./hack/testExamplesAgainstKustomize.sh v3.10.0
 
 # linux only.
 # This is for testing an example plugin that
diff --git a/hack/testExamplesAgainstKustomize.sh b/hack/testExamplesAgainstKustomize.sh
index f94466995..f29241a51 100755
--- a/hack/testExamplesAgainstKustomize.sh
+++ b/hack/testExamplesAgainstKustomize.sh
@@ -19,8 +19,10 @@ echo "Installing kustomize ${version}"
 rm -f $(go env GOPATH)/bin/kustomize
 if [ "$version" == "HEAD" ]; then
   (cd kustomize; go install .)
+elif [ "$version" == "v3.10.0" ]; then
+  GO111MODULE=on go get sigs.k8s.io/kustomize/kustomize/v3@v3.10.0
 else
-  GO111MODULE=on go get sigs.k8s.io/kustomize/kustomize/v3@${version}
+  GO111MODULE=on go get sigs.k8s.io/kustomize/kustomize/v4@v4.0.0
 fi
 
 # TODO: change the label?