January in Norwich is the sunniest and the coldest month of the year. In January, the weather in Norwich is typically cold. Average daily high temperature in January is about 6 degrees above zero. On average, Norwich has 12 rainy, 10 partly cloudy, 5 sunny, and 4 cloudy days in January. The rains are usually moderate. January as well as February, March, April, and May is considered the most uncomfortable time to visit Norwich.