diff --git a/releasing/README.md b/releasing/README.md
index 62d950a08..bba700bc8 100644
--- a/releasing/README.md
+++ b/releasing/README.md
@@ -5,12 +5,16 @@
 [Google Cloud Build]: https://cloud.google.com/cloud-build
 [semver]: https://semver.org
 [Go modules]: https://github.com/golang/go/wiki/Modules
+[multi-module repo]: https://github.com/go-modules-by-example/index/blob/master/009_submodules/README.md
 
 This document describes how to perform a [semver] release
 of one of the [Go modules] in this repository.
 
 These modules release independently.
 
+See this [multi-module repo] tagging discussion 
+for an explanation of the `foo/v2.3.0` tags applied below.
+
 ## Module summaries
 
 [`sigs.k8s.io/kustomize/kustomize`]: #sigsk8siokustomizekustomize
diff --git a/releasing/cloudbuild.sh b/releasing/cloudbuild.sh
index 5debd200d..da18c10db 100755
--- a/releasing/cloudbuild.sh
+++ b/releasing/cloudbuild.sh
@@ -10,6 +10,23 @@ set -x
 module=$1
 shift
 
+# The following assumes git tags formatted like
+# "api/v1.2.3" and splits on the slash.
+# Goreleaser doesn't know what to do with this
+# tag format, and fails when creating an archive
+# with a / in the name.
+fullTag=$(git describe)
+export tModule=${fullTag%/*}
+export tSemver=${fullTag#*/}
+echo "tModule=$tModule"
+echo "tSemver=$tSemver"
+if [ "$module" != "$tModule" ]; then
+  # Tag and argument sanity check
+  echo "Unexpected mismatch: moduleFromArg=$module, moduleFromTag=$tModule"
+  echo "Either the module arg to this script is wrong, or the git tag is wrong."
+  exit 1
+fi
+
 configFile=$(mktemp)
 cat <<EOF >$configFile
 project_name: $module
@@ -44,6 +61,8 @@ builds:
   - windows
   goarch:
    - amd64
+archive:
+  name_template: "{{ .ProjectName }}_${tSemver}_{{ .Os }}_{{ .Arch }}"
 EOF
 
 cat $configFile