June in Wellington is the cloudiest month of the year. In June, the weather in Wellington is typically warm. Average daily high temperature in June is about 12 degrees above zero. On average, Wellington has 13 rainy, 8 sunny, 5 partly cloudy, and 4 cloudy days in June. The rains are usually heavy. June as well as May, July, August, and September is considered the most uncomfortable time to visit Wellington.