Raymond,
I know it is sometimes hard to find specific answers on this site, since we now have over 4,800 questions answered here (thanks in large part to Erin, Heather M, Laura and Kim, who are all putting in some heroic efforts!). Fortunately Disney continues to improve the "Search" functionality, and very recently added several new topic categories to make it easier to find your topic of interest.
Nevertheless, I knew I answered a question about this a while back. It took me a bit, but I found the response
here. In case you are in a hurry, and don't want to click through, the quick answer is that the average highs are 90 degrees Fahrenheit, and the evening lows are 70 degrees. Please also note that the average humidity is 72%, and about 50% of the days in June have rain. Fortunately the rain at WDW doesn't usually last too long.
It's also worth mentioning here that if you want to find historical weather data on the specific dates of your trip, the "trip planner" on the site wwww.wunderground.com can be a very helpful tool.
-Bret