diff --git a/kustomize.Dockerfile b/kustomize.Dockerfile
index 66f59ee926..48fab6b0bc 100644
--- a/kustomize.Dockerfile
+++ b/kustomize.Dockerfile
@@ -1,15 +1,16 @@
 # Copyright 2022 The Kubernetes Authors.
 # SPDX-License-Identifier: Apache-2.0
+ARG TARGETARCH TARGETOS
 
 # build
-FROM public.ecr.aws/docker/library/golang:1.22.7-bullseye as builder
+FROM --platform=${BUILDPLATFORM} public.ecr.aws/docker/library/golang:1.22.7-bullseye as builder
 ARG VERSION
 ARG COMMIT
 ARG DATE
 RUN mkdir /build
 ADD . /build/
 WORKDIR /build/kustomize
-RUN CGO_ENABLED=0 GO111MODULE=on go build \
+RUN CGO_ENABLED=0 GO111MODULE=on GOOS=${TARGETOS} GOARCH=${TARGETARCH} go build \
     -ldflags="-s -X sigs.k8s.io/kustomize/api/provenance.version=${VERSION} \
     -X sigs.k8s.io/kustomize/api/provenance.buildDate=${DATE}"
 
diff --git a/releasing/cloudbuild_kustomize_image.yaml b/releasing/cloudbuild_kustomize_image.yaml
index 605b292171..b02725a524 100644
--- a/releasing/cloudbuild_kustomize_image.yaml
+++ b/releasing/cloudbuild_kustomize_image.yaml
@@ -9,13 +9,26 @@ steps:
       - "PROJECT_ID=$PROJECT_ID"
       - "_GIT_TAG=$_GIT_TAG"
       - "_PULL_BASE_REF=$_PULL_BASE_REF"
-# We need to use bash to configure the build date and version properly.
   - name: "gcr.io/cloud-builders/docker"
     entrypoint: /bin/bash
     args:
       - -c
       - >
         docker
+        buildx
+        create
+        --name
+        builder
+        --use
+        --bootstrap
+  # We need to use bash to configure the build date and version properly.
+  - name: "gcr.io/cloud-builders/docker"
+    entrypoint: /bin/bash
+    args:
+      - -c
+      - >
+        docker
+        buildx
         build
         -t
         gcr.io/$PROJECT_ID/kustomize:${_GIT_TAG}
@@ -29,6 +42,8 @@ steps:
         COMMIT=$(git rev-parse HEAD)
         --build-arg
         DATE=$(date -u +%FT%TZ)
+        --platform
+        linux/amd64,linux/arm64
         .
 
 images: