Chelliah is a given name and a surname. Notable people with the name include:

AR Chelliah, Indian religious leader, Bishop of Kanyakumari Diocese Devasahayam David Chelliah (1894–1979), JP OBE, the first Asian Archdeacon of Singapore Leaena Chelliah (born 1937), PBM BBM, founded Singapore's first school for children with multiple disabilities M. Chelliah, Indian politician and former Member of the Legislative Assembly Raja Chelliah (1922–2009), economist and founding chairman of the Madras School of Economics Shobhana Chelliah, Distinguished Professor of Linguistics, University of North Texas Chelliah Kumarasuriar, Sri Lankan politician Chelliah Loganathan (1913–1981), the first Ceylonese general manager of the Bank of Ceylon Chelliah Paramalingam (born 1936), Malaysian field hockey player Chelliah Thurairaja, USP, SLMC, Sri Lankan military physician, Army general, sportsman

See also Chelia Chelli (disambiguation) Chilia (disambiguation) Shelia