Brooking is a surname. Notable people with the surname include:
Charles Brooking (c. 1723–1759), English painter Christopher Brooking (c. 1553–1627), English politician Keith Brooking (born 1975), American football player Patrick Brooking (1937–2014), British Army general Trevor Brooking (born 1948), English footballer and manager Josh Brooking (born 2002), English footballer
See also Brookings (surname) Brooking, Saskatchewan