The heaviest snow is expected along the eastern slopes of western Montana.
Areas around Cut Bank can expect over a foot of snow through Tuesday night.
Lighter snow accumulations are also expected across the Washington and Oregon Cascades.
The storm system will move off to the east Wednesday and Thursday, bringing an end to the heavy snow. Despite the dry weather, temperatures are not expected to rise significantly until the end of the week.
Story by AccuWeather.com Meteorologist Eric Wanenchak.