The origins of the team can be traced back to Korvpalliklubi Rapla (Basketball Club Rapla), which was founded in 1996 as a division of the Rapla Sports School. Rapla Korvpallikool (Rapla Basketball School) was founded in 2004.[1] In 2010, they moved to the newly built Sadolin Sports Hall and Rapla's first team joined the Korvpalli Meistriliiga (KML), the top tier of Estonian basketball. The team also joined the Challenge Cup competition of the Baltic Basketball League (BBL) for the 2011–12 season. TYCO Rapla reached the Estonian Cup final in 2012, but were defeated by BC Rakvere Tarvas.[2]
Coached by Aivar Kuusmaa, the team finished third in the Estonian League in 2015 and 2016. AVIS UTILITAS Rapla made it to the KML Finals for the first time in 2017, but were swept in four games by defending champion BC Kalev/Cramo.[3] They came third again in the 2017–18 season.[4]