Allcock is a surname. Notable people with the surname include:

Amy Allcock (born 1993), British sprinter Annette Allcock (1923–2001), English artist Bill Allcock (1907–1971), English footballer Charles Allcock (1855–1947), English cricketer Daniel Allcock, American mathematician, professor of mathematics at the University of Texas at Austin Frank Allcock (1925–2005), English footballer Harry R. Allcock (born 1932), American academic chemist Henry Allcock (1759–1808), English judge Ken Allcock (1921–1996), English footballer Louise Allcock, British marine biologist Maartin Allcock (1957–2018), English musician Terry Allcock (1935–2024), English footballer Thomas Allcock (1815–1891), American inventor and businessman Tony Allcock (born 1955), English bowls player