The Canadian Freestyle Ski Association said the four-time Winter X Games gold medal-winner was airlifted to a hospital.
The association said in a Twitter message Burke's injuries were "very serious," but didn't supply any further details.
"Park City Mountain Resort mountain patrol stabilized her at the scene and then transported her to base patrol," resort representative Andy Miller told The Vancouver Sun. "From there, she was flown to a hospital in Salt Lake City."
Burke, 29, a native of Midland, Ontario, has been hailed as pioneer in the halfpipe freestyle event.
Her husband, skier Rory Bushfield of Squamish, British Columbia, told the Sun he and other family members were preparing to fly to Salt Lake City.
"Sarah is a very, very strong human and she will be fine," he said.