The album, which has also hit the top spot in the U.S., has sold more than 367,000 copies in Britain, giving Sheeran a week lead over Paolo Nutini for the most time spent at the top of the countdown.
Morrissey's 10th album World Peace is None of Your Business debuts at two.
Meanwhile, boyband Rixton have stormed to the top of the singles chart with their first release, Me and My Broken Heart. The track knocks will.i.am's It's My Birthday off the top spot.
Ariana Grande and Iggy Azalea's Problem stays put at two.