Founded in 1985 under the name Agrupación Deportiva Júver, Murcia agreed with a Madrid-based club, Logos de Madrid, to buy out its rights to play in the Spanish second division.

[2] In 1990, Murcia, led by veteran center Mike Phillips, beat Obradoiro in a playoffs series to gain promotion to the Spanish League.

With Diego Ocampo as head coach and Scott Bamforth, Raulzinho Neto and Carlos Cabezas as its top newcomers, Murcia finished the Spanish regular season with a 17–17 record, which was just one win from the playoffs.

Last season Murcia found a new coach in Fotios Katsikaris and added more experienced players like Facundo Campazzo, Serhiy Lishchuk and Vítor Faverani.

In the 2023–24 ACB season Murcia reached the finals in the first time after beating Valencia Basket in the quarterfinals and Unicaja in the semifinals, but they lost to Real Madrid in three games in 2024 ACB Finals CB Murcia has received diverse sponsorship names along the years: Note: Flags indicate national team eligibility at FIBA-sanctioned events.