Probably the best attraction for seafood lovers is all of the festivals throughout Belize that celebrate the beginning of the lobster season. June is also a great time to visit Belize as airfare from the United States is more affordable than ever. Major airlines like Delta, American Airlines and Southwest all run specials, and Belize is only 3-5 hours’ flying time from several major American cities. Diving the Belize Blue Hole – Regularly voted as one of the top 10 natural wonders of the world, experienced divers can explore hauntingly beautiful underwater caverns in the Belize Blue Hole. Weather in Belize in JuneDays are largely sunny and warm, with temperatures ranging in the low to mid 80s Fahreinheit (27-30C).