Curri is an Albanian surname. Notable people with the surname include:
Asllan Curri (died 1925), a member of the kachak movement Bajram Curri, (1862–1925) Albanian politician Debatik Curri (born 1983), Albanian footballer Hysni Curri (died 1925), Kosovar Albanian revolutionary Skerdilaid Curri (born 1975), Albanian footballer