Epic Games Community Coordinator Sean Hamilton revealed that season 5 of Fortnite will start on July 12 at 1am PST.
Hamilton said on the Fortnite sub-reddit:
Heya folks,
Season 4 is coming to an end! We want to give you a heads up on the exact ending time. You may have seen the timer update in-game, which means we are giving you two more days to complete Season 4! Season 5 will begin on July 12th at 4 AM EDT (08:00 GMT).
Want even more help earning those last few Battle Pass rewards? We’ll be running a +100% match XP weekend starting June 29th at 4AM EDT (08:00 GMT) and ending on July 2nd at 3AM EDT (07:00 GMT). Hop in, catch up on challenges, and earn those Season 4 rewards while you can!
