Aycock is a surname. Notable people with the surname include:
Alice Aycock (born 1946), American sculptor
Angela Aycock (born 1973), basketballer
Charles Brantley Aycock (1859–1912), American politician
Dugan Aycock (1908–2001), American golfer
Jimmie Don Aycock (born 1946), politician
Sharion Aycock (born 1955), jurist
Taddy Aycock (1915–1987), American politician
William Brantley Aycock (born 1915), American educator