In May, the weather in Mount Ranier National Park is typically warm. Average daily high temperature in May is about 10 degrees above zero. On average, Mount Ranier National Park has 23 rainy, 5 sunny, 2 partly cloudy, and 1 cloudy day in May. The rains are usually heavy. May as well as January, February, March, and April is considered the most uncomfortable time to visit Mount Ranier National Park.