Allcock is a surname. Notable people with the surname include:
Bill Allcock (1907–1971), English footballer
Frank Allcock (1925–2005), English footballer
Harry R. Allcock (born 1932), American academic chemist
Henry Allcock (1759–1808), English judge
Maartin Allcock (born 1957), English musician
Terry Allcock (born 1935), English footballer
Thomas Allcock (1815–1891), American inventor and businessman
Tony Allcock (born 1955), English bowls player
