Cannon took to his Twitter page on Friday, saying the events are "bittersweet" but he's going to follow "doctor's orders."
Cannon said in a statement on the 92.3 NOW website that Friday was his last day hosting the 2-year-old show, called "Rollin'."
The 31-year-old was hospitalized in January after suffering from what his wife, Mariah Carey, called "mild kidney failure."
The two became parents of twins last year, son Moroccan and daughter Monroe.
Cannon said he'll continue to host his syndicated weekend show, "Cannon's Countdown." He added that he will "look forward to contributing to 92.3 NOW whenever possible."