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She is the first player to go through the season-ending tournament undefeated since Serena Williams in 2013.
Former US Open champion Sloane Stephens triumphed against an inconsistent Karolina Pliskova 0-6, 6-4, 6-1 in one hour and 55 minutes.
Kiki Bertens advanced to the semis after Naomi Osaka retired with a left hamstring injury at the end of first set.
Svitolina produced one of the best performances to overcome defending champion Wozniacki 5-7, 7-5, 6-3.
Karolina Pliskova became the first woman to advance to the last four of the tournament.
Caroline Wozniacki got her WTA Finals title defence back on track with a 7-5, 3-6, 6-2 victory over Petra Kvitova.
Osaka's decision came hours after losing the Pan Pacific Open final on Sunday to Karolina Pliskova of the Czech Republic.
The couple was joined by Nick's elder brother Joe and his fiance Sophie Turner.
Juan Martin Del Potro outslugged John Isner 6-7(5), 6-3, 7-6(4), 6-2 after a towering battle in a sweltering Arthur Ashe Stadium.
Colin Kaepernick sparked a national controversy by kneeling during the national anthem and was not offered a place on a team for the 2017 season.