Damant is a surname. Notable people with the surname include:
Andrée Damant, French actress Derek Damant (died 2021), South African bishop Guybon Chesney Castell Damant (1881–1963), British navy officer Luke Damant (born 2000), Australian Youtuber Nicholas Damant (c. 1531–1616), Dutch magistrate and statesman Pieter Damant (1530–1609), bishop of Ghent