Vinci lost the first set and went on to beat her Czech opponent 4-6, 6-2, 6-2.
"The key for me was to be aggressive and focused, and that's why I won today," said Vinci, who won 73 percent of her first-serve points.
Vinci had reached the finals for the third consecutive year with a come-from-behind win over Spain's Laura Pous-Tio.
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