René Touzet y Monte (September 8, 1916, in Havana, Cuba – June 15, 2003, in Miami, Florida) was a Cuban composer, pianist and bandleader.

Growing up in the city of Cojimar, Touzet learned classical piano from the age of four, and went on to study at the Falcón Conservatory in Havana.

Soon thereafter, he would become the leader of a 16-piece jazz orchestra, playing big band shows at the Grand Casino in Havana.

He also began writing his own compositions; one of his most famous songs, "No Te Importe Saber" ('You don't care to know'), was recorded with lyrics (by Mitchell Parish) as "Let Me Love You Tonight" by Bing Crosby, Frank Sinatra and Dean Martin, among others.

Touzet also continued his musical education, undertaking additional studies with Prof. César Pérez Sentenat, Joaquín Nin, and Italian composer Mario Castelnuovo-Tedesco.