Ivanovic said she didn't feel herself get injured, and expects to play in Rome next week.
Ivanovic pressured Kuznetsova into hitting a forehand long to close out the match to the cheers of 7,000 spectators, who rooted for the Serb after a shaky first set.
Ivanovic claimed her third title and eighth win against a top-10 player. She reached the top 10 yesterday when the new rankings were released.
"That has been my goal for some time now so I am very happy," Ivanovic said. "I now have more expectations for the French Open, but I don't want to put pressure on myself."
Kuznetsova played for the second time on Sunday and sometimes looked fatigued as the two hit hard, going for winners with few long rallies.
"I cannot say I was very fresh. The third set was tough," Kuznetsova said.
Two hours earlier, Kuznetsova eliminated Justine Henin 6-4, 5-7, 6-4 in a rain-delayed semi-final. She had lost 14 of 15 matches against the top-ranked Belgian, including last year's French Open final.
"It's mental, so beating her was very important," Kuznetsova said. "The final was a minus, but there were more pluses. I played great matches against Justine and Nadia [Petrova]."
Taiwanese tennis star Chan Yung-jan beat Australian left-hander Casey Dellacqua 6-4, 6-4 to claim Japan's Fukuoka Tennis Open Championship on Sunday.
It marked the third straight time that Chan has won the title.
Chan said she was delighted to capture the Fukuoka title again.
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