"We Mormons are used to that. If a Mormon makes a mistake, you can always count on his religion being mentioned," Hatch said on the "Imus in the Morning Show" on national radio and the Fox Business TV channel.
Hatch's comments came amid press scrutiny because the alleged Fort Hood shooter, Maj. Nidal Malik Hasan, attended the same Virginia mosque as two 9/11 terrorists when a radical imam preached there. That imam, Anwar al Awlaki, who is on Yemen's most wanted list, called Hasan a "hero" on his Web site on Monday.
Hatch said the shooter probably acted as an individual and not as part of any Muslim terrorist group.
"I don't think all Islamic people in this country should be tarred by the fact that one guy goes off the rails," he said.