Bugay is a surname. Notable people with the surname include:
Amado Bugay (1954–1977), Filipino martyr and dissident against the Marcos dictatorship Nikolay Bugay (born 1941), Russian historian Ryley Bugay (born 1996), American-born Filipino footballer Saim Bugay (1934–2008), Turkish sculptor
See also Buğay, Korgun Buğay, Yapraklı Bugay in Mole National Park, Ghana