Brkić is a surname. Notable people with the surname include:
Courtney Angela Brkic (born 1972), Croatian American memoirist, short story writer, and academic
Goran Brkić (born 1991), Serbian footballer
Haris Brkić (1974–2000), Bosnian basketball player
Hasan Brkić (1913–1965), Yugoslav and Bosnian communist and partisan
Ivan Brkić (born 1995), Croatian football goalkeeper
Jozo Brkić (born 1986), Bosnian-Croat basketball player
Ljuba Brkić (born 1975), Serbian pianist, piano teacher, president of the Jeunesses Musicales Serbia
Marijan Brkić Brk, Croatian guitarist
Marko Brkić (born 1982), Serbian basketball player
Milija Brkić (born 1954), Serbian former footballer
Mladen Brkić (born 1980), Serbian football player
Senad Brkić (born 1969), Bosnian former footballer
Tomislav Brkić (born 1990), Bosnian tennis player
Vedran Brkic (born 1988), Serbian rugby union player
Željko Brkić (born 1986), Serbian football goalkeeper