The world number 32, seeded second, won 6-3 6-7(5) 6-2 after two hours and 11 minutes to claim her second WTA title.
The 22-year-old lost three singles finals in 2014, the latest against Germany's Sabine Lisicki at the WTA Hong Kong Open last Sunday.
Lepchenko, seeded fifth, ran out of steam after hard-fought victories over top seed and defending champion Agnieszka Radwanska in the quarter-finals and compatriot Christina McHale in the last four.
(Reporting by Sudipto Ganguly; editing by Amlan Chakraborty)
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