Drinčić (, ) is a Serbo-Croatian surname. Notable people with the surname include:
Milić Drinčić (1775 - 1815), Serbian nobleman and revolutionary Miloš Drinčić (born 1999), Montenegrin footballer Nikola Drinčić (born 1984), Montenegrin footballer Zdravko Drinčić (born 1972), Montenegrin footballer