It's the second marriage for Carey, who was previously married to Tommy Mottola.
Cannon was linked to Victoria's Secret model Selita Ebanks, to whom Cannon proposed via the Times Square jumbotron. They broke up five months later.
Carey scored her 18th number one hit with "Touch My Body" recently, topping Elvis in the number of No. 1 hits on the Billboard charts.
Her E=MC2 album also debuted at No. 1 on the charts.