In the Music app, Apple Music subscribers can add and download songs and videos from Apple Music. Stream music that you've added over an internet connection or download music that you've added to listen to offline.
To add music from Apple Music to your library
Do any of the following:
Touch and hold a song, album, playlist, or video, then tap Add to Library.
When viewing the contents of an album or playlist, tap the plus sign near the top of the screen to add the album or playlist, or tap •••, then tap Add to Library to add individual songs.
On the Now Playing screen, tap •••, then tap Add to Library.
If you want to delete items from the library, touch and hold the item then tap Delete from Library.
Music you add to iPhone is also added to other devices if you’re signed in to the iTunes Store and App Store using the same Apple ID and have Sync Library turned on (Settings > Music, then turn on Sync Library).
Download music from Apple Music to your iPhone
Download a song, album, or playlist: Touch and hold music you’ve added to your library, then tap Download. After you’ve added a playlist or album, you can also tap the down arrow at the top of the screen. Note: You must turn on Sync Library to download music from Apple Music to your library (go to Settings > Music, then turn on Sync Library).
Always download music: Go to Settings > Music, then turn on Automatic Downloads. Songs you add are automatically downloaded to iPhone.
See download progress: On the Library screen, tap Downloaded Music, then tap Downloading.