The dead climber had not yet been identified, said Pete Hughes, a spokesman for the Hood River County Sheriff's Office.
Rescuers continue to search for the two missing climbers. "We remain hopeful," said Capt. Mike Braibish, spokesman for the Oregon National Guard.
Teams of climbers and a helicopter will work Monday to remove the body from the 11,239-foot mountain, said Marc Smith, also a spokesman for the Hood River Sheriff's Office.
Near the first snow cave, helicopters had spotted rope that had been intentionally laid out in a Y-shape, which climbers often use to indicate their location. There was also an ice spike and footprints, said Sgt. Gerry Tiffany, spokesman for the Hood River County Sheriff's Office.
The footprints appeared to head up the mountain toward the summit, but were blown out by the wind at higher points, Tiffany said. Searchers dug through the first cave, about 300 feet below the summit, to ensure no one was there and took the equipment, which will be examined for clues.
Weather conditions have been harsh since the three were reporting missing eight days ago, with heavy snow fall and wind gusts of up to 100 mph. The snow stopped Saturday, but wind up to 50 mph blew the fresh snow, hampering visibility.
There has been no communication from Kelly James, 48, of Dallas, 37-year-old Brian Hall of Dallas, or 36-year-old Jerry "Nikko" Cooke of New York City since Dec. 10, when James used his cell phone to call his family. He told them he was sheltering in a snow cave while his companions started back down the mountain, apparently to get help for him.