Every service has its own rules. Here's a rough overview.
Spotify
Spotify gets lyrics through a lyrics provider. Your release has to be available there before any lyrics can appear. We pass your lyrics on with the release; when they become visible is up to the service – we can't speed that up.
If you verify your artist profile, it's easier to manage your details. The verification assistant in your dashboard guides you step by step.
Apple Music
Apple Music can also display lyrics. It has its own guidelines for lyrics. Make sure to label explicit content correctly.
How listeners see the lyrics
Depending on the service, the lyrics appear in the song's playback view. On a phone, listeners often swipe up to see them; on a computer, there's usually an icon in the playback bar.
Respect the rights
Only enter lyrics that you wrote yourself or that you own the rights to. For cover songs or borrowed passages, you need permission from the rights holders.