Named for the green timber which covers it, Green Mountain and its neighbors, Crooks Mountain to the west and Whiskey Peak to the east, comprise a small mountain range by Rocky Mountain standards. Green Mountain has no hard rock core but was formed from sediments eroded from the much older Granite Mountains just to the north. Crooks Mountain and its adjacent Crooks Gap and Crooks Peak were named after Civil War veteran and Indian fighter General George H. Crook.
The area has spectacular views of the surrounding Wyoming landscapes and excellent deer and elk hunting. If you're a rock hunter, both jade and agate are found in the surrounding areas. Wild horses can be seen in the area year-round.
Green Mountain does have a seasonal closure that runs from December 1 to June 15.