Heavey is a surname. Notable people bearing it include:
Aidan Heavey (born 1953), Irish chief executive John Heavey (1868–1948), Roman Catholic bishop John W. Heavey (1867–1941), United States Army general Martin Heavey (born 1943), Irish Gaelic footballer Margaret Heavey (1908–1980), Irish academic William F. Heavey (1896–1974), American brigadier general