diff --git a/storage/grpc_client.go b/storage/grpc_client.go
index 26a87fad09d1..60f192299fe3 100644
--- a/storage/grpc_client.go
+++ b/storage/grpc_client.go
@@ -415,6 +415,11 @@ func (c *grpcStorageClient) ListObjects(ctx context.Context, bucket string, q *Q
 	}
 	gitr := c.raw.ListObjects(it.ctx, req, s.gax...)
 	fetch := func(pageSize int, pageToken string) (token string, err error) {
+		// MatchGlob not yet supported for gRPC.
+		// TODO: add support when b/287306063 resolved.
+		if q != nil && q.MatchGlob != "" {
+			return "", status.Errorf(codes.Unimplemented, "MatchGlob is not supported for gRPC")
+		}
 		var objects []*storagepb.Object
 		err = run(it.ctx, func() error {
 			objects, token, err = gitr.InternalFetch(pageSize, pageToken)
diff --git a/storage/http_client.go b/storage/http_client.go
index 263b077becac..4ca0e02bfd81 100644
--- a/storage/http_client.go
+++ b/storage/http_client.go
@@ -347,6 +347,7 @@ func (c *httpStorageClient) ListObjects(ctx context.Context, bucket string, q *Q
 		req.EndOffset(it.query.EndOffset)
 		req.Versions(it.query.Versions)
 		req.IncludeTrailingDelimiter(it.query.IncludeTrailingDelimiter)
+		req.MatchGlob(it.query.MatchGlob)
 		if selection := it.query.toFieldSelection(); selection != "" {
 			req.Fields("nextPageToken", googleapi.Field(selection))
 		}
diff --git a/storage/integration_test.go b/storage/integration_test.go
index 7961806aa1b4..d13a0c30ed7c 100644
--- a/storage/integration_test.go
+++ b/storage/integration_test.go
@@ -1293,6 +1293,68 @@ func TestIntegration_ObjectIteration(t *testing.T) {
 	})
 }
 
+func TestIntegration_ObjectIterationMatchGlob(t *testing.T) {
+	// This is a separate test from the Object Iteration test above because
+	// MatchGlob is not yet implemented for gRPC.
+	ctx := skipGRPC("https://github.com/googleapis/google-cloud-go/issues/7727")
+	multiTransportTest(skipJSONReads(ctx, "no reads in test"), t, func(t *testing.T, ctx context.Context, _ string, prefix string, client *Client) {
+		// Reset testTime, 'cause object last modification time should be within 5 min
+		// from test (test iteration if -count passed) start time.
+		testTime = time.Now().UTC()
+		newBucketName := prefix + uidSpace.New()
+		h := testHelper{t}
+		bkt := client.Bucket(newBucketName).Retryer(WithPolicy(RetryAlways))
+
+		h.mustCreate(bkt, testutil.ProjID(), nil)
+		defer func() {
+			if err := killBucket(ctx, client, newBucketName); err != nil {
+				log.Printf("deleting %q: %v", newBucketName, err)
+			}
+		}()
+		const defaultType = "text/plain"
+
+		// Populate object names and make a map for their contents.
+		objects := []string{
+			"obj1",
+			"obj2",
+			"obj/with/slashes",
+			"obj/",
+			"other/obj1",
+		}
+		contents := make(map[string][]byte)
+
+		// Test Writer.
+		for _, obj := range objects {
+			c := randomContents()
+			if err := writeObject(ctx, bkt.Object(obj), defaultType, c); err != nil {
+				t.Errorf("Write for %v failed with %v", obj, err)
+			}
+			contents[obj] = c
+		}
+		query := &Query{MatchGlob: "**obj1"}
+
+		var gotNames []string
+		it := bkt.Objects(context.Background(), query)
+		for {
+			attrs, err := it.Next()
+			if err == iterator.Done {
+				break
+			}
+			if err != nil {
+				t.Fatalf("iterator.Next: %v", err)
+			}
+			if attrs.Name != "" {
+				gotNames = append(gotNames, attrs.Name)
+			}
+		}
+
+		sortedNames := []string{"obj1", "other/obj1"}
+		if !cmp.Equal(sortedNames, gotNames) {
+			t.Errorf("names = %v, want %v", gotNames, sortedNames)
+		}
+	})
+}
+
 func TestIntegration_ObjectUpdate(t *testing.T) {
 	ctx := skipJSONReads(context.Background(), "no reads in test")
 	multiTransportTest(ctx, t, func(t *testing.T, ctx context.Context, bucket string, _ string, client *Client) {
diff --git a/storage/storage.go b/storage/storage.go
index c2babd58594f..d76546676086 100644
--- a/storage/storage.go
+++ b/storage/storage.go
@@ -1486,6 +1486,8 @@ type Query struct {
 	// aside from the prefix, contain delimiter will have their name,
 	// truncated after the delimiter, returned in prefixes.
 	// Duplicate prefixes are omitted.
+	// Must be set to / when used with the MatchGlob parameter to filter results
+	// in a directory-like mode.
 	// Optional.
 	Delimiter string
 
@@ -1499,9 +1501,9 @@ type Query struct {
 	Versions bool
 
 	// attrSelection is used to select only specific fields to be returned by
-	// the query. It is set by the user calling calling SetAttrSelection. These
+	// the query. It is set by the user calling SetAttrSelection. These
 	// are used by toFieldMask and toFieldSelection for gRPC and HTTP/JSON
-	// clients repsectively.
+	// clients respectively.
 	attrSelection []string
 
 	// StartOffset is used to filter results to objects whose names are
@@ -1527,6 +1529,12 @@ type Query struct {
 	// true, they will also be included as objects and their metadata will be
 	// populated in the returned ObjectAttrs.
 	IncludeTrailingDelimiter bool
+
+	// MatchGlob is a glob pattern used to filter results (for example, foo*bar). See
+	// https://cloud.google.com/storage/docs/json_api/v1/objects/list#list-object-glob
+	// for syntax details. When Delimiter is set in conjunction with MatchGlob,
+	// it must be set to /.
+	MatchGlob string
 }
 
 // attrToFieldMap maps the field names of ObjectAttrs to the underlying field