January in Needham Heights is the snowiest and the coldest month of the year. In January, the weather in Needham Heights is typically cold. Average daily high temperature in January is about 1 degree above zero. On average, Needham Heights has 14 partly cloudy, 11 sunny, 3 rainy, 2 snowy, and 1 cloudy day in January. The rains are usually heavy. January as well as February, March, and December is considered the most uncomfortable time to visit Needham Heights.