June in Kununurra is the windiest, the sunniest, and the coldest month of the year. In June, the weather in Kununurra is typically warm. Average daily high temperature in June is about 28 degrees above zero. On average, Kununurra has 26 sunny and 4 partly cloudy days in June. June as well as July is considered the most comfortable time to visit Kununurra.