Bajram Kosumi (born 20 March 1960, in Kosovska Kamenica, Yugoslavia) is an Albanian politician who served as the Prime Minister of Kosovo for nearly one year.
He was nominated by Kosovan President Ibrahim Rugova and elected Prime Minister by the Kosovo Parliament on 23 March 2005 following his predecessor Ramush Haradinaj's indictment for war crimes and subsequent resignation.
Kosumi resigned on 1 March 2006 amid widespread unpopularity and was replaced by former rebel leader Agim Çeku.
He also served as the deputy chairman of the Alliance for the Future of Kosovo.