Two of the injured boys were flown to the University of Utah burn unit. One boy was in good condition and the family of the other asked that no information be released by the hospital. A third boy was in fair condition at Primary Children's Medical Center.
No names were released.
''We're just devastated by the loss of one of our youth,'' said Kay Godfrey, a spokesman for the Boy Scouts' Great Salt Lake Council.
He said he did not know if there were other boys in the lean-to the lightning struck. The shelters can bunk 12 to 15 kids, he said.
All four boys belong to the same Salt Lake troop. The boys are between the ages of 12 and 16.
Hendricks said the rest of the Boy Scouts have left the camp and returned home.
Camp Steiner is the highest Boy Scout camp in the country at 10,400 feet elevation in the Uinta Mountains, about 60 miles east of Salt Lake City.
A powerful line of thunderstorms rolled across much of Utah on Tuesday night, causing flash floods in the southwestern part of the state and taking out a bridge and closing a highway.
Last Thursday, an assistant Scoutmaster and a 13-year-old Scout were killed by a lightning strike in California's Sequoia National Park.
Four Scout leaders at the National Boy Scout Jamboree in Virginia were electrocuted July 24 in front of several Scouts after they lost control of the towering metal pole at the center of a large, white dining tent, sending it toppling into nearby power lines.