The 28-year-old former world No.4 will surge back into the Top-20 on Monday after a week that saw her win eight matches in nine days, defeat three top-10 opponents, and overcame Kvitova to win her 10th career title, third of the season, and first WTA 1000 since 2017.
The win also marked the 40th WTA Tour singles final of Kvitova's career. Kvitova, who is 29-10 in finals, will aim for her 30th career singles title on Sunday.
The Briton finished with 38 winners, including 15 aces, to Gasquet's 20 winners
Number one Novak Djokovic defeated Canadian Milos Raonic in the final 1-6, 6-3, 6-4 to take the men's title and completed his second career Masters sweep.
In her statement on Wednesday, former world number one Naomi Osaka had said she was not ready to play tennis following the killing of Jacob Blake.
A massive anti-racism sentiment has outpoured after Jacob Blake, a black civilian, was shot in the back seven times by a police officer in Wisconsin, USA.
Andy Murray was a winner in Cincinnati in 2008 and 2011, making him one of six former winners entered in this year's tournament alongside
