The 18-year-old Wozniacki's 6-0, 6-2 victory made her the youngest player to win a tour title this year.
Both Wozniacki and Dushevina played two matches Sunday.
Wozniacki beat defending champion and top-seed Agnieszka Radwanska of Poland 6-4, 6-1 and Dushevina ousted Slovenia's Katarina Srebotnik 6-1, 6-2 in semifinal matches that had been rained out Saturday.
"I'm very happy I've won my first title," Wozniacki said. "It's always tough to play two matches on the same day, but Vera had to do it, as well."