Park officials say an autopsy found that John Wallace from Chassell, Mich., died as a result of traumatic injuries from the bear attack.
He was the second park visitor killed by a bear this year. A Torrance man was killed last month several miles from where Wallace was discovered.
The Michigan hiker's remains were found about five miles from the nearest trailhead. Authorities say Wallace likely died Wednesday or Thursday.
He was traveling alone and had pitched a tent in a campground on Wednesday, park officials said. Rangers found grizzly tracks and scat, or bear droppings, near Wallace's body.
Park employees have been searching for the bear around the Mary Mountain Trail northeast of Old Faithful. That's the area where hikers discovered Wallace's body on Friday.
Traps have been set to try to capture the bear, which will be killed if it can be linked to Wallace's death through DNA analysis, officials said.
The Associated Press contributed to this report.