UPDATE 2-Golf-Woods wins at Memorial with birdie-birdie finish

* Woods clinches 67th PGA Tour victory

* Byrd squanders two-shot lead with six holes to play

* Perfect driving display by Woods in final round (Adds detail)

DUBLIN, Ohio, June 7 (Reuters) - Tiger Woods came from four strokes behind to win the Memorial tournament by a shot on Sunday, sealing his 67th PGA Tour victory with a dramatic birdie-birdie finish.

Helped by one of the best driving displays of his career, the world number one rammed in a nine-footer at the 17th before hitting an exquisite approach to 14 inches at the par-four last.

He tapped in the putt for his seventh birdie of the day and a seven-under-par 65 at Muirfield Village Golf Club before removing his cap to acknowledge the roars from the crowd.

Woods won the tournament for a record fourth time with a 12-under total of 276, finishing ahead of fellow American Jim Furyk who rolled in a 22-foot birdie putt at the 18th for a 69.

"That was unbelievable," tournament host Jack Nicklaus said to Woods as he shook hands with the 14-times major champion on the edge of the 18th green.

American Jonathan Byrd, who held a two-shot lead with six holes to play, battled over the tough closing stretch to card a 72 and share third place at eight under with compatriot Mark Wilson.