The special version of the singer's upcoming LP The Truth About Love will include four new tracks - 'My Signature Move', 'Is This Thing On?', 'Run' and 'Good Old Days'.
"I'm really happy that these songs have a home as I would hate to see them not have a chance to be heard," she told Billboard.
Target's VP of entertainment John Butcher added: "We're really excited by her music, our fans are really excited by what Pink brings to the market and we think this is a foundation for a great relationship."
Pink was said to have written 35 songs for her sixth studio album, which was produced by long-time collaborators Man Martin, Shellback, Butch Walker, Greg Kurstin and Jeff Bhasker.
The LP features collaborations with Lily Allen on 'True Love', fun.'s Nate Russ on 'Just Give Me A Reason' and Eminem on 'Here Comes The Weekend'.
All four extra tracks will be available on the UK deluxe edition.
Pink's current single 'Blow Me (One Last Kiss)' is currently locked in a chart battle with Ne-Yo and The Script for UK number one this Sunday.
Watch the 'Blow Me' music video below: