It was the second consecutive year the Memorial winner rallied from four shots behind. Tiger Woods did it a year ago, and Rose, of England, was equally impressive in playing bogey-free at Muirfield Village for 6-under-par 66.
Rickie Fowler, the 21-year-old rookie trying to become the youngest winner on the course Jack Nicklaus built, fell out of the lead for the first time with a double bogey on the 12th hole when he hit into the water. He fell three shots behind Rose and never caught up.
Woods, the defending champion, closed with 72 and tied for 19th. It was his lowest finish since 2002 at the Memorial.
CHAMPIONS TOUR: In West Des Moines, Iowa, Nick Price shot 4-under-par 67 to hold off Tommy Armour III and win the Principal Charity Classic by four strokes.
Price had a 14-under 199 total to grab his second Champions Tour win this season and the third of his career.
Armour, the co-leader with Price after two rounds, shot even-par 71 and finished second for the third time this year with a 10-under 203.
Augusta native Larry Mize shot 68 and finished at 206, while former Augusta resident Allen Doyle shot 73 and finished at 219.
EUROPEAN TOUR: In Newport, Wales, Graeme McDowell, of Northern Ireland, shot a closing-round 63 to pick up his fifth career European Tour victory at the Wales Open.
McDowell's 15-under-par 269 over this year's Ryder Cup course at Celtic Manor left him three shots ahead of Welshman Rhys Davies.
Former Augusta State golfer Oliver Wilson shot 75 and finished at 291.
NATIONWIDE TOUR: In College Park, Md., Tommy Gainey won the Prince George's County Open for his first Nationwide Tour Title, closing with 6-under 65 for a one-stroke victory over Frank Lickliter II and Jin Park.
Aiken's Kevin Kisner (73) finished 11 back.