diff --git a/api/krusty/configmaps_test.go b/api/krusty/configmaps_test.go
index b161d88b35..8c375e2237 100644
--- a/api/krusty/configmaps_test.go
+++ b/api/krusty/configmaps_test.go
@@ -291,6 +291,8 @@ resources:
 configMapGenerator:
   - name: project
     behavior: merge
+    options:
+      disableNameSuffixHash: true
     literals:
     - ANOTHER_ENV_VARIABLE="bar"
 `)
diff --git a/api/krusty/generatorplugin_test.go b/api/krusty/generatorplugin_test.go
new file mode 100644
index 0000000000..d04c8dd2ba
--- /dev/null
+++ b/api/krusty/generatorplugin_test.go
@@ -0,0 +1,135 @@
+// Copyright 2019 The Kubernetes Authors.
+// SPDX-License-Identifier: Apache-2.0
+
+package krusty_test
+
+import (
+	"os"
+	"path/filepath"
+	"testing"
+
+	"github.com/stretchr/testify/assert"
+	kusttest_test "sigs.k8s.io/kustomize/api/testutils/kusttest"
+	"sigs.k8s.io/kustomize/kyaml/filesys"
+)
+
+func TestGeneratorHashSuffixWithMergeBehavior(t *testing.T) {
+	fSys := filesys.MakeFsOnDisk()
+	generatorFilename := "generateWithHashRequest.sh"
+
+	th := kusttest_test.MakeHarnessWithFs(t, fSys)
+	o := th.MakeOptionsPluginsEnabled()
+	o.PluginConfig.FnpLoadingOptions.EnableExec = true
+
+	tmpDir, err := filesys.NewTmpConfirmedDir()
+	assert.NoError(t, err)
+	th.WriteK(tmpDir.String(), `
+resources: 
+- configmap.yaml
+generators:
+- |-
+  kind: Executable
+  metadata:
+    name: demo
+    annotations:
+      config.kubernetes.io/function: |
+        exec:
+          path: ./`+generatorFilename+`
+`)
+
+	th.WriteF(filepath.Join(tmpDir.String(), "configmap.yaml"), `
+apiVersion: v1
+kind: ConfigMap
+metadata:
+  name: cmap
+data:
+  a: b
+`)
+	th.WriteF(filepath.Join(tmpDir.String(), generatorFilename), `#!/bin/sh
+
+cat <<EOF
+apiVersion: v1
+kind: ConfigMap
+metadata:
+  name: cmap
+  annotations:
+    kustomize.config.k8s.io/needs-hash: "true"
+    kustomize.config.k8s.io/behavior: "merge"
+data:
+  c: d
+EOF
+`)
+	assert.NoError(t, os.Chmod(filepath.Join(tmpDir.String(), generatorFilename), 0777))
+	m := th.Run(tmpDir.String(), o)
+	assert.NoError(t, err)
+	yml, err := m.AsYaml()
+	assert.NoError(t, err)
+	assert.Equal(t, `apiVersion: v1
+data:
+  a: b
+  c: d
+kind: ConfigMap
+metadata:
+  name: cmap-fh478f99mk
+`, string(yml))
+}
+
+func TestGeneratorHashSuffixWithReplaceBehavior(t *testing.T) {
+	fSys := filesys.MakeFsOnDisk()
+	generatorFilename := "generateWithHashRequest.sh"
+
+	th := kusttest_test.MakeHarnessWithFs(t, fSys)
+	o := th.MakeOptionsPluginsEnabled()
+	o.PluginConfig.FnpLoadingOptions.EnableExec = true
+
+	tmpDir, err := filesys.NewTmpConfirmedDir()
+	assert.NoError(t, err)
+	th.WriteK(tmpDir.String(), `
+resources: 
+- configmap.yaml
+generators:
+- |-
+  kind: Executable
+  metadata:
+    name: demo
+    annotations:
+      config.kubernetes.io/function: |
+        exec:
+          path: ./`+generatorFilename+`
+`)
+
+	th.WriteF(filepath.Join(tmpDir.String(), "configmap.yaml"), `
+apiVersion: v1
+kind: ConfigMap
+metadata:
+  name: cmap
+data:
+  a: b
+`)
+	th.WriteF(filepath.Join(tmpDir.String(), generatorFilename), `#!/bin/sh
+
+cat <<EOF
+apiVersion: v1
+kind: ConfigMap
+metadata:
+  name: cmap
+  annotations:
+    kustomize.config.k8s.io/needs-hash: "true"
+    kustomize.config.k8s.io/behavior: "replace"
+data:
+  c: d
+EOF
+`)
+	assert.NoError(t, os.Chmod(filepath.Join(tmpDir.String(), generatorFilename), 0777))
+	m := th.Run(tmpDir.String(), o)
+	assert.NoError(t, err)
+	yml, err := m.AsYaml()
+	assert.NoError(t, err)
+	assert.Equal(t, `apiVersion: v1
+data:
+  c: d
+kind: ConfigMap
+metadata:
+  name: cmap-gbdtcf54mt
+`, string(yml))
+}
diff --git a/api/resmap/reswrangler_test.go b/api/resmap/reswrangler_test.go
index d576560868..0ea6b327a3 100644
--- a/api/resmap/reswrangler_test.go
+++ b/api/resmap/reswrangler_test.go
@@ -12,6 +12,7 @@ import (
 
 	"github.com/stretchr/testify/assert"
 	"sigs.k8s.io/kustomize/api/filters/labels"
+	"sigs.k8s.io/kustomize/api/internal/utils"
 	"sigs.k8s.io/kustomize/api/provider"
 	. "sigs.k8s.io/kustomize/api/resmap"
 	"sigs.k8s.io/kustomize/api/resource"
@@ -895,6 +896,16 @@ func TestAbsorbAll(t *testing.T) {
 	assert.Error(t, err)
 	assert.True(
 		t, strings.Contains(err.Error(), "behavior must be merge or replace"))
+
+	// Assure BuildAnnotationsGenAddHashSuffix is not deleted after AbsorbAll
+	w = makeMap1()
+	w.RemoveBuildAnnotations()
+	w2 = makeMap2(types.BehaviorReplace)
+	assert.NoError(t, w.AbsorbAll(w2))
+	expected = makeMap2(types.BehaviorUnspecified)
+	expected.RemoveBuildAnnotations()
+	assert.NoError(t, expected.AnnotateAll(utils.BuildAnnotationsGenAddHashSuffix, "enabled"))
+	assert.NoError(t, w.ErrorIfNotEqualLists(expected))
 }
 
 func TestToRNodeSlice(t *testing.T) {
diff --git a/api/resource/resource.go b/api/resource/resource.go
index ae1a98be0e..874c632ed2 100644
--- a/api/resource/resource.go
+++ b/api/resource/resource.go
@@ -523,6 +523,10 @@ func mergeStringMapsWithBuildAnnotations(maps ...map[string]string) map[string]s
 	result := mergeStringMaps(maps...)
 	for i := range BuildAnnotations {
 		if len(maps) > 0 {
+			// not delete BuildAnnotationsGenAddHashSuffix to work with kustomize.config.k8s.io/needs-hash annotation in generator options
+			if BuildAnnotations[i] == utils.BuildAnnotationsGenAddHashSuffix {
+				continue
+			}
 			if v, ok := maps[0][BuildAnnotations[i]]; ok {
 				result[BuildAnnotations[i]] = v
 				continue