Bessette is a French Canadian surname. Notable people with the surname include:
- André Bessette, Holy Cross Brother and a significant French-Canadian religious figure
- Carolyn Bessette-Kennedy, wife of John F. Kennedy Jr.
- Gérard Bessette, French Canadian author and educator
- Lauren Bessette, American investment banker and the sister-in-law of John F. Kennedy Jr.
- Lyne Bessette, professional bicycle racer from Quebec, Canada
- Matt Bessette, American mixed martial artist