Dražić () is a Serbo-Croatian surname, a patronymic derived from the given name Dražen. Notable people with the surname include:
Darko Dražić (born 1963), Bosnian Croat football player and manager Dejan Dražić (born 1995), Serbian footballer Firmilijan Dražić (1852–1903), Metropolitan of Skopje Kosta Dražić (born 1998), Serbian footballer Mariana Dražić (born 1995), Croatian tennis player Stefan Dražić (born 1992), Serbian footballer
See also Dražíč, village in the Czech Republic