The album, currently untitled, will be released in the autumn by Motown Records.
"If your a rapper I suggest you run because I'm about to come for all of you sucka's," Hart wrote in a strongly worded post on Instagram.
"Y'all just knocked on the door of a small giant that loves chicken nuggets and long walks in the park."
Hart achieved fame as a stand-up before enjoying further success as the star of such films as Get Hard, The Wedding Ringer and Ride Along.