Šišić is a South Slavic surname. Notable people with the surname include:
Aladin Šišić (born 1991), Bosnian footballer Aldijana Šišić (born 2000), Bosnian footballer Antonio Šišić (born 1983), Croatian footballer Emir Šišić, former pilot of SFR Yugoslav Air Force Ferdo Šišić (1869–1940), Croatian historian Ismet Šišić (born 1958), Bosnian footballer Mirnes Šišić (born 1981), Slovenian footballer