Tenerife CB was founded in 1996 after the fusion of some teams of the islands and debuts in LEB Oro in the 1996–97 season, the first of this league.
In the 2002–03 season, Tenerife plays the FIBA Champions' Cup and reaches the second stage. In the same year, Tenerife CB becomes champion of the Copa Príncipe and promotes to Liga ACB, where plays two seasons before being relegated to LEB Oro.
In summer of 2010, Tenerife CB renounces to its berth in LEB Oro due to financial problems and is relegated to Liga EBA. In the next summer and after reaching the promotion playoffs, Tenerife CB achieved a vacant berth to play in LEB Plata, the Spanish basketball third division.