After he emigrated to the United States and with the rise of Castro, the staunchly anti-communist Lecuona never returned to Cuba. From his first marriage to the former Joan Hagle Gates (born c. 1936), from whom he was divorced, Lecuona had two sons, Mark Rafael Lecuona (born c. 1958) of Dallas, Texas, and Miguel Rafael Lecuona (born c. 1962) and wife Barbara of Fredericksburg, Texas, and two grandchildren. He is also survived by his second wife, Diana Picard Lecuona (born c. 1938), from whom he acquired two step-daughters, Monica Picard Jeffery and husband David and Jacqueline Picard Dennington and husband Joseph, and three step-grandchildren.