Hi zainuddin131,
Thanks for coming to Apple Support Communities for help today.
YouTube does require iOS 14 in order to be updated. You can find more information here: YouTube: Watch, Listen, Stream on the App Store. Check Settings > General > About and make sure your iPhone is running iOS 14 or higher.
If the iPhone is on iOS 14 or above, you may also want to try connecting to Wi-Fi to download the app.
Other suggestions can be found in this article: If you can’t download or update apps on your iPhone or iPad.
If you still can't download YouTube, let us know further details.
Have a fantastic day!