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

Charles C. Stockley (1819–1901), American politician Cynthia Stockley (1873–1936), South African writer Ena Stockley (1906–1989), New Zealand swimmer Henry Stockley (1892–1982), English artist Jayden Stockley (born 1993), English footballer Mary Stockley, English actress Miriam Stockley (born 1962), British singer Sam Stockley (born 1977), English footballer Tom Stockley (1936–2000), American writer Tony Stockley (1940–1991), English cricketer William Stockley (1859–1943), Irish politician William Stockley (musician) (1830–1919), English musician