diff --git a/packages/playwright-core/src/server/injected/selectorGenerator.ts b/packages/playwright-core/src/server/injected/selectorGenerator.ts
index ad6df946b9..93d5e0ba70 100644
--- a/packages/playwright-core/src/server/injected/selectorGenerator.ts
+++ b/packages/playwright-core/src/server/injected/selectorGenerator.ts
@@ -161,7 +161,7 @@ function buildCandidates(injectedScript: InjectedScript, element: Element): Sele
   if (element.getAttribute('role'))
     candidates.push({ engine: 'css', selector: `${cssEscape(element.nodeName.toLowerCase())}[role=${quoteAttributeValue(element.getAttribute('role')!)}]` , score: 50 });
 
-  if (element.getAttribute('name') && ['BUTTON', 'FORM', 'FIELDSET', 'IFRAME', 'INPUT', 'KEYGEN', 'OBJECT', 'OUTPUT', 'SELECT', 'TEXTAREA', 'MAP', 'META', 'PARAM'].includes(element.nodeName))
+  if (element.getAttribute('name') && ['BUTTON', 'FORM', 'FIELDSET', 'FRAME', 'IFRAME', 'INPUT', 'KEYGEN', 'OBJECT', 'OUTPUT', 'SELECT', 'TEXTAREA', 'MAP', 'META', 'PARAM'].includes(element.nodeName))
     candidates.push({ engine: 'css', selector: `${cssEscape(element.nodeName.toLowerCase())}[name=${quoteAttributeValue(element.getAttribute('name')!)}]`, score: 50 });
   if (['INPUT', 'TEXTAREA'].includes(element.nodeName) && element.getAttribute('type') !== 'hidden') {
     if (element.getAttribute('type'))
diff --git a/tests/library/selector-generator.spec.ts b/tests/library/selector-generator.spec.ts
index cef94b4d24..a8da7250f6 100644
--- a/tests/library/selector-generator.spec.ts
+++ b/tests/library/selector-generator.spec.ts
@@ -301,6 +301,12 @@ it.describe('selector generator', () => {
       await page.setContent(`<form><${tagName} name="foo"></${tagName}><${tagName} name="bar"></${tagName}></form>`);
       expect(await generate(page, '[name=bar]')).toBe(`${tagName}[name="bar"]`);
     }
+
+    await page.setContent(`<iframe name="foo"></iframe><iframe name="bar"></iframe>`);
+    expect(await generate(page, '[name=bar]')).toBe(`iframe[name="bar"]`);
+
+    await page.setContent(`<frameset><frame name="foo"></frame><frame name="bar"></frame></frameset>`);
+    expect(await generate(page, '[name=bar]')).toBe(`frame[name="bar"]`);
   });
 
   it('should work with tricky attributes', async ({ page }) => {