Conkey is a surname. Notable people with the surname include:
John Conkey, the owner of the Boston Red Stockings of the National League in 1872 Margaret Conkey (born 1943), archaeologist Theodore Conkey (1819–1880), American surveyor, businessman and Democratic politician William Conkey (1717–1788), innkeeper of Pelham, Massachusetts in the 18th century
See also Conkey House, an 1842 historic home in Niagara County, New York