Brkić is a surname. Notable people with the surname include:
Courtney Angela Brkic (born 1972), Croatian American memoirist, short story writer, and academicGoran Brkić (born 1991), Serbian footballerHaris Brkić (1974–2000), Bosnian basketball playerHasan Brkić (1913–1965), Yugoslav and Bosnian communist and partisanIvan Brkić (born 1995), Croatian football goalkeeperJozo Brkić (born 1986), Bosnian-Croat basketball playerLjuba Brkić (born 1975), Serbian pianist, piano teacher, president of the Jeunesses Musicales SerbiaMarijan Brkić Brk, Croatian guitaristMarko Brkić (born 1982), Serbian basketball playerMilija Brkić (born 1954), Serbian former footballerMladen Brkić (born 1980), Serbian football playerSenad Brkić (born 1969), Bosnian former footballerTomislav Brkić (born 1990), Bosnian tennis playerVedran Brkic (born 1988), Serbian rugby union playerŽeljko Brkić (born 1986), Serbian football goalkeeper