Robert Dennison may refer to:
- Robert Dennison (US Navy officer) (1901–1980), American naval officer and aide to President Harry Truman
- Robert Dennison (MP), British Member of Parliament for Birmingham King's Norton, 1924–1929
- Robert Denniston, NY State Comptroller, 1860–1861, sometimes quoted as Robert Dennison
- Robbie Dennison (born 1963), Northern Irish former professional footballer
- Bob Dennison, English football manager