Dampier is a surname. People with the surname include:
Al Dampier (fl. 1950s-1960s), American football playerAlex Dampier (b. 1951), Canadian-British athlete and coach in ice hockeyAlfred Dampier (1843-1908), English-born actor and playwright, active in AustraliaClaude Dampier (1879-1955), English actorErick Dampier, American basketball playerJeffrey Dampier (1966-2005), American lottery winner and murder victimJohn Dampier (1750-1826), English athlete in cricketLily Dampier (1859 (?) - 1915), Australian actorLouie Dampier (b. 1944), American basketball playerRobert Dampier (1799-1874), English artistThomas Dampier (1748-1812), English clericThomas Dampier (priest) (ca. 1700-1777), English cleric and educatorWilliam Dampier (1651-1715), English explorer, the first person to circumnavigate the Earth three timesWilliam Cecil Dampier (1867-1952), British scientist, agriculturist and science historian