Kanepi dropped the first set in nine games then won the next two for a 3-6, 7-6, 6-4 victory over the game but unseeded Suarez Navarro.
Kanepi had beaten top-seeded Roberta Vinci in the semifinals. She captured her second title of the year and third of her career.
Suarez Navarro is 0-3 in championship matches and was playing in her first championship match since 2010.
Celebrity Breakups and divorces of 2014 [PHOTOS]