Woods tied for 28th after a final-round 65, bouncing back from his horrific 81 on Saturday during brutal weather conditions.
Woods, who had won three of his last four starts, shot a final-round 72 and tied for 11th place at six-under 282.
In the opening round, Woods tied the course and tournament records with a 63.
Woods set 20 Masters records in 1997 and tied six others.
Woods began the final round six strokes behind Mickelson, but tied him with a birdie at No. 13.
Woods tied Mickelson on the par-5 10th by dropping a 4-foot birdie.
Woods tied for fourth, only two strokes behind Ben Curtis, the surprise winner.
Shute and Wood tied for the clubhouse lead with rounds of 73 and 75, respectively.
At the 1996 Tour Championship here, Woods tied for 21st.
Woods tied for third and earned $58,000.