The scores in the lopsided title match were 6-0, 6-0.
The victory was the third of the year, and of her career, for Bartoli.
"I didn't have expectations coming into this match, so maybe that helped," said Bartoli, who won a first-prize check of $28,000. "Also, maybe she was tired from yesterday. She's a little younger and less experienced, too. Whenever she'd start taking control of the points I'd hit it just as hard back, and I think that discouraged her a little bit."
In Saturday's semifinals, the 19-year-old Poutchkova, who was the eighth seed in this event, needed three sets to top No. 4 Severine Bremond of France.
In defeat, she took home $14,650.
2014: The Year in Music [PHOTOS]