Bajram Kosumi (born 20 March 1960), is a Kosovar politician who served as the third 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.

[1] Kosumi resigned on 1 March 2006 amid widespread unpopularity and was replaced by former general leader Agim Çeku.

He is a quiet, cerebral politician, who took part in the Rambouillet talks in early 1999, prior to the Kosovo War.

Kosumi was a supporter of the Kosovo Liberation Army (KLA) insurgency, but he did not take up arms or wear the uniform.