Hegyi ("of (the) hill") is a Hungarian surname:

Barnabás Hegyi (1914–1966), Hungarian cinematographer Julius Hegyi (1923–2007), American conductor and violinist Gyula Hegyi (born 1951), Hungarian politician (born 1954), Hungarian-Austrian art historian (born 1986), Hungarian ice hockey player Zomilla Hegyi (born 1989), Hungarian-Spanish sprint canoer

See also Hegyi is the Hungarian name of Zemplínske Kopčany