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The National Weather Service described the conditions as "winter-like."
The agency advised the public to prepare for deteriorating conditions in higher elevations.
"Persons should consider delaying travel across the backcountry and higher elevations," advised the National Weather Service.
Officials recommended keeping survival supplies on hand if traveling through the affected mountain passes remains necessary.
"If travel is absolutely necessary, consider taking a winter storm kit along with you, including such items as tire chains, booster cables, flashlight, shovel, blankets and extra clothing.
Also take water, a first aid kit, and anything else that would help you survive in case you become stranded," said the National Weather Service.
Conditions in the western mountains are expected to clear up by the weekend, bringing warmer and drier weather for the holiday.
"Wind speeds are likely to peak early this evening with a few gusts in excess of 50 mph causing difficult cross-winds," according to the National Weather Service in Great Falls, Montana.
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The severe gusts are projected to shift northward into Wyoming as the low pressure system slowly moves out of the region.