Bessette is a French Canadian surname. Notable people with the surname include:

André Bessette, Holy Cross Brother and French-Canadian religious figure Carolyn Bessette-Kennedy, wife of John F. Kennedy Jr Gérard Bessette, Canadian author and educator Lauren Bessette, American investment banker, sister-in-law of John F. Kennedy Jr Lyne Bessette, Canadian bicycle racer from Quebec Matt Bessette, American mixed martial artist