"It's absolutely fantastic," Henman told BBC Sport. "It's an unbelievable achievement for him and one we're all incredibly proud of.
"He always in his heart of hearts believed he could win the tournament. He had the huge disappointment of losing the final 12 months ago but knew he could do it. This is certainly one of many more Grand Slam titles for Andy Murray."
Henman reached the semi-finals of the tournament four times during his career before retiring in 2007.