January in Madison is the snowiest and the coldest month of the year. In January, the weather in Madison is typically cold. Average daily high temperature in January is about 1 degree above zero. On average, Madison has 14 partly cloudy, 8 sunny, 5 rainy, 2 snowy, and 2 cloudy days in January. The rains are usually moderate. January as well as February, March, May, and December is considered the most uncomfortable time to visit Madison.