Cibulkova downed the Frenchwoman 6-1, 7-5 in a 95-minute match at Carlsbad, Calif., picking up her second career title in four finals appearances.
Her only other championship came when she bested Kaia Kanepi in Moscow last year.
Bartoli, meanwhile, fell short in a bid for her first victory since last year's event in Osaka.
Charlize Theron not engaged to Sean Penn 'yet'
Pregnant Mila Kunis wins 'Best Villain' at MTV Movie Awards