CUBAN MAMBO was composed by Xavier Cugat (some sources say by Xavier Cugat and Rafael Angulo; some sources add J. Wiseman). Pérez Prado's recording of it appears on several albums:
"Mambo by the King," 1956
"Il Re del Mambo," 1996
"Absolute Best," 1999
"Mambo Cubano: The Golden Age of Cuban Music 1940-1960," 2000
"A Proper Introduction to Perez Prado: The Mambo King," 2004
"Latin Classics, Vol. 1," 2005

It has also been recorded by Xavier Cugat and by Tito Puente. There are numerous albums available.

The above information is from allmusic.

Fullerton: a good rule of thumb: when you ask for something, tell us everything you already know about it. This information might help us track down the information you want. For instance, it might be helpful to post all the English lyrics you already know, since apparently nothing has been posted about this song at Mudcat before.