 The club was founded in 1960 under the name "Industriali Laç", and they competed in the Albanian Second Division, the third tier, for the majority of their early years.They reached the championship final of the 1974–75 Second Division, but lost to Vetëtima Himarë and were subsequently not promoted to the First Division.The name was changed to "KS Laçi" in 1991 when the club first participated in the Kategoria Superiore, the name was changed for the last time to "KF Laçi" in 1997.