Mt. Tyree was discovered in January 1958 during reconnaissance flights by the United States Navy VX-6 squadron, and mapped later that month by the Marie Byrd Land Traverse Party. The mountain was named for Rear Admiral David M. Tyree, who was commander of the U.S. Naval Support Force in Antarctica, from April 14, 1959 to November 26, 1962.
The still-unclimbed south face is in height and the highest wall in Antarctic. The climbing season is November to January.