diff --git a/packages/store/src/keys/copyMap.js b/packages/store/src/keys/copyMap.js
index 04b7b4f422b..f626a32a25b 100644
--- a/packages/store/src/keys/copyMap.js
+++ b/packages/store/src/keys/copyMap.js
@@ -2,6 +2,7 @@
 
 import {
   assertChecker,
+  Far,
   getTag,
   makeTagged,
   passStyleOf,
@@ -111,10 +112,10 @@ export const getCopyMapEntries = m => {
     payload: { keys, values },
   } = m;
   const { length } = keys;
-  return harden({
+  return Far('CopyMap entries iterable', {
     [Symbol.iterator]: () => {
       let i = 0;
-      return harden({
+      return Far('CopyMap entries iterator', {
         next: () => {
           /** @type {IteratorResult<[K,V],void>} */
           let result;
diff --git a/packages/store/src/stores/store-utils.js b/packages/store/src/stores/store-utils.js
index de6190990c3..8cf9ca40cfb 100644
--- a/packages/store/src/stores/store-utils.js
+++ b/packages/store/src/stores/store-utils.js
@@ -1,5 +1,7 @@
 // @ts-check
 
+import { Far } from '@agoric/marshal';
+
 const { details: X, quote: q } = assert;
 
 /**
@@ -54,13 +56,13 @@ export const makeCurrentKeysKit = (
     return sortedKeysMemo;
   };
 
-  const iterableKeys = harden({
+  const iterableKeys = Far('Iterable of keys', {
     [Symbol.iterator]: () => {
       const generation = updateCount;
       getSortedKeys();
       const len = sortedKeysMemo.length;
       let i = 0;
-      return harden({
+      return Far('Iterator of keys', {
         next: () => {
           assert.equal(
             generation,
diff --git a/packages/store/test/test-copyMap.js b/packages/store/test/test-copyMap.js
new file mode 100644
index 00000000000..3b3ad41736f
--- /dev/null
+++ b/packages/store/test/test-copyMap.js
@@ -0,0 +1,22 @@
+// @ts-check
+
+import { test } from '@agoric/swingset-vat/tools/prepare-test-env-ava.js';
+import { getTag, passStyleOf } from '@agoric/marshal';
+import { getCopyMapEntries, makeCopyMap } from '../src/keys/copyMap.js';
+import '../src/types.js';
+
+test('copyMap - iters are passable', t => {
+  // See test 'passability of store iters'
+  const m = makeCopyMap([
+    ['x', 8],
+    ['y', 7],
+  ]);
+  t.is(passStyleOf(m), 'tagged');
+  t.is(getTag(m), 'copyMap');
+  const i = getCopyMapEntries(m);
+  t.is(passStyleOf(i), 'remotable');
+  const iter = i[Symbol.iterator]();
+  t.is(passStyleOf(iter), 'remotable');
+  const iterResult = iter.next();
+  t.is(passStyleOf(iterResult), 'copyRecord');
+});
diff --git a/packages/store/test/test-store.js b/packages/store/test/test-store.js
index a017f859030..deb4330ceb4 100644
--- a/packages/store/test/test-store.js
+++ b/packages/store/test/test-store.js
@@ -129,3 +129,16 @@ test('passability of stores', t => {
     t.throws(() => passStyleOf(makeLegacyWeakMap('foo')), { message: /x/ });
   }
 });
+
+test('passability of store iters', t => {
+  // See test 'copyMap - iters are passable'
+  const m = makeScalarMapStore('bar');
+  m.init('x', 8);
+  m.init('y', 7);
+  const keys = m.keys();
+  t.is(passStyleOf(keys), 'remotable');
+  const iter = keys[Symbol.iterator]();
+  t.is(passStyleOf(iter), 'remotable');
+  const iterResult = iter.next();
+  t.is(passStyleOf(iterResult), 'copyRecord');
+});