Stajić is a South Slavic surname. Notable people with the surname include:
Boban Stajić (born 1993), Macedonian basketball player Duško Stajić (born 1982), Bosnian footballer Milorad Stajić (born 2002), Bosnian footballer Nikola Stajić (born 2001), Serbian footballer Vasa Stajić (1878–1947), Serbian writer and philosopher