Capper is a surname. Notable people with the surname include:
Andy Capper (born 1973), English journalist
Arthur Capper (1865–1951), American politician
Charles Capper, American historian
Charles Capper (politician) (1822–1869), British Member of Parliament
Edmund Capper (1906–1998), English bishop
Freddy Capper (1891–1955), English footballer
Gavin Capper is a fictional character on the soap opera Shortland Street
Jack Capper (1931–2009), Welsh footballer
John Capper (1861–1955), senior British Army officer
Stewart Henbest Capper (1859–1925), Scottish architect
Thompson Capper (1863–1915), senior British Army officer
Warwick Capper (born 1963), Australian rules footballer
William Capper (1856–1934), senior British Army officer