KF Llapi was founded on 5 July 1932, becoming the oldest club in
Podujevë. The club was known as
FK Lab () during Yugoslav period.
Reorganization In 2013, KF Llapi with the aim of better organization with the initiation of the municipality of Podujevë led by Mayor Agim Veliu, held the electoral assembly with the board of directors who supported the long-term project presented by Nexhat Dumnica as president and Tahir Batatina as chief of the technical staff and thus began the mission towards the
Kosovo Superleague, with clear ambitions and clear organization. In the first meeting of the football fund, club leaders Nexhat Dumnica and Muhamet Hasani presented their plan for a revived Llapi financially and with new goals. ==European record==