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