Park spokeswoman Patti Wold said the climber was at the 13,500-foot level of the mountain, at the top of the Emmons Glacier, when he fell.
The accident was reported at Camp Schurman at approximately 4 p.m. by four members of the climber's nine-person climbing party, and rescue operations were immediately set in motion, Wold said.
An Army Reserve Chinook helicopter brought two climbing rangers to Liberty Saddle, approximately 300 feet above the scene. They assessed the injured climber and readied him for emergency airlift.
At about 9:10 p.m., the patient was flown off the mountain and taken to Madigan Army Medical Center for treatment of multiple traumatic injuries.
In all, some 33 personnel were involved in responding to the incident, Wold said.
It was not immediately clear how far the climber fell. His name, age and hometown were not available.
The icy, exposed Emmons Glacier is the same site where climbing ranger Nick Hall, 33, fell about 2,400 feet to his death while helping to rescue four injured climbers from Waco, Texas, on June 21, 2012.