Göncz is a Hungarian surname. Notable people with the surname include:
Árpád Göncz (1922–2015), Hungarian liberal politician, President of Hungary Kinga Göncz (born 1947), Hungarian academic, Minister of Foreign Affairs of Hungary László Göncz (born 1960), Hungarian historian and politician Renáta Göncz (born 1991), Hungarian opera singer Zoltán Göncz (born 1958), Hungarian composer