Azemi is a surname. Notable people with the surname include:
Hafëz Jusuf Azemi (1920–2023), Albanian anti-communist Nijazi Azemi (1970–2001), Liberation Army of Preševo, Medveđa and Bujanovac commander Edmond Azemi (born 1980), Kosovan basketball player Mohammad Al-Azemi (born 1982), Kuwaiti middle-distance runner Ilir Azemi (born 1992), Kosovar Albanian footballer Fitim Azemi (born 1992), Norwegian Albanian footballer Faisal Ajab Al-Azemi (born 1993), Kuwaiti footballer Arian Azemi (born 1999), Kosovan basketball player