Priory, Jamaica offers 3 beaches perfect for sunbathing, surfing, swimming, and more. Priory, Saint Ann, Jamaica, is known for its proximity to the famous Dunn's River Falls and the Green Grotto Caves. The best time to travel to Priory, Jamaica, is from December to April, with average air temperatures around 77-86°F (25-30°C) and water temperatures about 79-82°F (26-28°C). Sandee provides detailed maps, photos, and reviews from fellow beachgoers to help you Choose Your Beach™ and plan your perfect beach vacation!