T.S.U. was one of the 11 founding members of the
Georgian basketball league in 1991. Their best seasons in the league were 2009-10 and 2010-11, when they reached the playoff finals, losing both of them 1–3 against
Energy Invest Rustavi and
BC Armia respectively.
From 2015 to 2018, TSU-Hyundai played in
Georgian A-Liga, winning it in 2018 and receiving a direct promotion to the
Georgian Superliga.
The club's greatest success was winning the Georgian Cup in 2006. They also won the Korkia/Sakandelidze Memorial tournament twice in 2011 and 2019, and the Dudu Dadiani Memorial in 2019.[1]