June crowds definitely build as the month progresses. So your week will be better than the next one and so on! Last year our dates were the 15th to the 21st. And like Matterhorn's experience the week before, each day seemed to get a bit more crowded. But even that late in the month, it was never insane, undoable or to the point I was sorry we were there at that time. And that was not our first June nor our last, we are going again this June! I also believe early to mid June is very popular with school groups, so you will likely see lots of kids in matching tee shirts. June is a great time to go. Rides, shows and parades as well as hours are in full gear. Just arrive early at opening, utilize fast pass wisely, take a midday break when crowds and heat are highest and have fun! We will be there the week after you and I can't wait!