Brković or Brkovic is a surname. Notable people with the surname include:
Ahmet Brković (born 1974), Croatian footballer
Balša Brković (born 1966), Montenegrin writer, essayist and theatre critic
Dragana Kršenković Brković, writer from Montenegro
Dusan Brkovic, Serbian football player
Jevrem Brković (born 1933), Montenegrin writer (poet, novelist, journalist), historian and a cultural activist