Kure hails from Kurmin Musa in Kachia Local Government Area, southern, Kaduna State, Nigeria. He attended Provincial Secondary School (1957 - 1962) and finished studies with a West African School Certificate. In 1963, he joined Nigeria Military Training College and had further military training at Officer Cadet School, Portsea, Australia. In 1982, he attended a course at the National Institute of Policy and Strategic Studies where he wrote the paper, Logistics in Military Campaign: A case Study of the Nigerian Civil War.
Kure was appointed Lieutenant in 1966, Captain in 1969 and Major in 1970. He was promoted Lt. Col in 1975 and became a Colonel in 1980. In 1983, he was appointed to the rank of Brigadier. Kure was a member of the Special Military Tribunal that adjudicated suspected participants of the Mamman Vatsa coup of 1986.[2] In 1990, he was head of the Second Tribunal that tried suspected members of the Gideon Orkar led coup in 1990.[3] Upon the appointment of Salihu Ibrahim as Chief of Army Staff, Kure and other Generals who were higher in rank to Ibrahim were retired. However, Babangida gave him a ministerial post after his retirement.[2] He was Minister of Culture and Social Welfare in 1990 and was redeployed to the Sports Ministry in 1992. He died 2 November 2023.