Grković () is a Serbian patronymic surname, derived from the nickname Grk translated to "Greek". Notable people with the surname include:
Branko Grković (1920–1982), Bosnian-Herzegovinian composer, pianist, music educator, and writer Jovan Grković-Gapon (1879-1912), former Serbian Orthodox monk turned guerrilla fighter (1919-1943), Yugoslav partisan Jelena Grkovic (1913—1974), Yugoslav partisan
See also
Grčinić Grčić