Cooray is a Sinhalese surname. Notable people with the surname include:
Anuradha Cooray (born 1978), Sri Lankan runner
Asantha Cooray, Sri Lankan academic
Cissy Cooray, Ceylonese social worker
B. C. Cooray (born 1941), Sri Lankan cricket official
Mervyn J Cooray , (Born 1938) Former State Minister of Power and Energy , Member of Parliament
Sujith Cooray , Former Provincial Councillor of the Western Provincial Council , Member of parliament
Reginald Cooray, Sri Lankan politician
Thomas Cooray (1901–1988), 8th Archbishop of Colombo and first Sri Lankan cardinal