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Having retired in 2020 to raise a family and playing in just her third event since returning to action Wozniacki turned back the clock to come out on top in the battle of 33-year-old Grand Slam champions.
Ninth seed Kviotova brushed aside the challenge of Belarusian Aliaksandra Sasnovich.
The left-hander looked completely at ease on the surface as she captured her sixth title on grass, more than any other active Women's Tennis Association player.
By winning her 30th career title, the former world No. 2 Kvitova will now re-enter the top 10 for the first time since September, 2021.
World No. 1 Iga Swiatek was made to work by American Lauren Davis before sealing a 6-3, 6-4 win to reach the fourth round at New York for the second straight year.
After battling through qualifying, Garcia beat three top-10 world-ranked opponents, Maria Sakkari, Aryna Sabalenka and Jessica Pegula, on the way to the final where she delivered a master class against Czech Kvitova.
Petra Kvitova overcame a sluggish start and 10 double faults to beat Madison Keys 6-7(6), 6-4, 6-3 and advance to the women's singles final, where she will face Caroline Garcia, the first qualifier to reach the final of a WTA 1000 tournament.
In the men's section, world No. 1 Daniil Medvedev and fourth seed Stefanos Tsitsipas defused big-serving American threats Taylor Fritz and John Isner to reach the semifinals.
American Frances Tiafoe caused the first big upset by beating third seed Stefanos Tsitsipas 6-4, 6-4, 6-3.
Two-time Wimbledon champion Kvitova, who reached the semifinals at Roland Garros in 2020 and 2012, beat Belgian qualifier Greet Minnen 6-7(3), 7-6(5), 6-1 in her opening match of the tournament and hurt her ankle shortly afterwards.