Henry Moreno rode a number of stakes race winners for Cain Hoy Stable including Kentucky Oaks and Beldame Stakes winner, Lalun and the prized Garden State Stakes for juvenile horses aboard Turn-To. However, Moreno's most important win for Harry F. Guggenheim's stable came in the 1953 Kentucky Derby when he rode Dark Star to victory over future the Hall of Fame colt, Native Dancer. Of his three mounts in the Preakness Stakes, Moreno's best result was aboard The Scoundrel in 1964 when he had a second place finish behind Northern Dancer.
While still riding, Moreno also trained quarter horses in the 1960s. In the 1970s, he settled in California where he began training Thoroughbreds at Del Mar Racetrack. Of note was his uncommon feat in the 1978 Del Mar Handicap in which he both trained and rode the winner.
Moreno is also remembered for training major stakes winners from South America of which the multiple Grade I winner Tizna is the best known.
In his later years Henry Moreno battled pancreatic cancer and in 2007 died at age seventy-seven at Florence, Oregon.