Juan Leovigildo Brouwer Mezquida (born March 1, 1939) is a Cuban composer, conductor, and classical guitarist.

Together with Morton Feldman, he was awarded a 1972 scholarship by the DAAD (German Academic Exchange Service) and to work as a guest composer and lecturer at the Academy of Science and Arts of Berlin.

During the 1960s and 70s, he became interested in the music of modernist composers such as Luigi Nono and Iannis Xenakis, using indeterminacy in works such as Sonograma I.

The solo guitar works El Decamerón Negro (1981), Paisaje cubano con campanas (1986), and the Sonata (1990; for Julian Bream) exemplify this tendency.

[9][10] Brouwer has written for guitar, piano, and percussion, and has composed orchestral works, ballet, and music for over one hundred movies, including the film Like Water for Chocolate.

[11] He has performed and recorded works by Sylvano Bussotti, Hans Werner Henze, Maurice Ohana, Cristóbal Halffter, Leni Alexander, Cornelius Cardew, and Heitor Villa-Lobos.