For Android Smartphone

On your Android smartphone, launch the YouTube app (if you have not installed it, here’s the link). Tap the “Menu” button and select the “My Channel” option.

Go to the Playlists tab and select your playlist.

Tap on any video to start playing. Once it has ended, the next video will continue automatically.

For Android tablet

While the YouTube app is the same, the interface is different. At the top of the YouTube app, select “Your Channel”. On the left sidebar, select “Playlist”. On the right pane, select the playlist that you want to play.

When you tap on a video to play, it will only play that video and won’t continue to the next video. To play all the videos in the playlist, you have to select the “Play all” option at the top right corner.

That’s it. Note: From the YouTube app, you can also create new playlist and add/delete videos to/from your playlist. However, You will need to have at least one playlist in your YouTube account before the YouTube app allows you to create playlist. If not, it will show a “No Playlist found” error message.