January in Princeton is the cloudiest month of the year. In January, the weather in Princeton is typically freezing. Average daily high temperature in January is about 1 degree below zero. On average, Princeton has 11 cloudy, 9 partly cloudy, 8 snowy, 2 sunny, and 1 rainy day in January. The snowfalls are usually heavy. January as well as February, March, April, and May is considered the most uncomfortable time to visit Princeton.