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