Henry was born in Valdosta, Georgia. He attended Georgia Tech on a football scholarship, where he also played golf. He turned professional in 1967 and played on the PGA Tour for 12 years. Henry's career year in professional golf was 1969, when he won the National Airlines Open Invitational, and had his two best finishes in majors: solo 9th place at the U.S. Open and T-11 at the PGA Championship. Henry began play on the Senior PGA Tour (now called the Champions Tour) in 1994. His best finish was a T-3 at the 1996 Boone Valley Classic. Henry was inducted into the Georgia Golf Hall of Fame in 2008.