The service will start this October.
Apple said that over 11 million people have signed up for a trial of its music streaming service since its launch on 30 June.
Apple senior vice president of Internet software and services Eddy Cue told USA Today, "We’re thrilled with the numbers so far."
About 2 million people have selected the free trial family plan at $14.99 per month for around six family members.
Users will have to pay $9.99 per month for individual access to 30 million songs, human-curation playlists and a live radio station. It includes an initial free trial period of three months.
If Apple manages to maintain its music user base, it will have nearly half the number of commercial music streaming service Spotify, which has over 20 million paid subscribers globally.
Apple’s iTunes Store helped in stimulating the music industry ten years ago, however digital downloads have declined recently due to the transformation towards streaming.
Apple’s offering does not include a free on-demand tier, when compared to popular streaming services from competitors like Spotify.