Woods sank a 12- foot birdie putt on the 17th hole Saturday to move 1-up against defending champion Henrik Stenson, who conceded the final hole to give Woods a 2-up victory and an appearance in the final for the fourth time at the Championship.
"It was a nice putt to make," said Woods, who won this title in 2003 and 2004 and lost in the final in 2000.
Woods and Cink will play in a 36-hole match Sunday. Cink beat Justin Leonard 4 & 2 in Saturday's other semifinal.
Woods, the No. 1 overall seed, beat K.J. Choi in the morning's quarterfinal match. He never built a bigger lead than 1-up throughout the match against Stenson.