In January, the weather in Mount Ranier National Park is typically freezing. Average daily high temperature in January is about zero. On average, Mount Ranier National Park has 14 snowy, 10 rainy, 4 cloudy, and 3 sunny days in January. The snowfalls are usually heavy. January as well as February, March, April, and May is considered the most uncomfortable time to visit Mount Ranier National Park.