He was the national champion tennis player in Cuba and won the Canadian Open in 1959, defeating his brother Orlando H. Garrido in the final of the tournament.
[2] Born in Cuba, Garrido attended the University of Miami on a tennis scholarship from 1952 to 1955.
[2] Garrido was the reigning Cuban national champion in tennis from 1952 to 1959, and played for 9 years on the Cuba Davis Cup team.
[2] His best Grand Slam performance was reaching the third round of the 1956 U.S. National Championships.
[citation needed] In Cuba under Fidel Castro, Garrido continued playing and teaching tennis, until finally obtaining an exit visa in 1965.