June in Invercargill is the cloudiest month of the year. In June, the weather in Invercargill is typically cold. Average daily high temperature in June is about 9 degrees above zero. On average, Invercargill has 16 rainy, 10 partly cloudy, 3 cloudy, and 1 sunny day in June. The rains are usually heavy. June as well as March, April, May, and July is considered the most uncomfortable time to visit Invercargill.