Martin, from California, carded a par 72 in windy conditions on the final day to finish on one under-par 287, one stroke ahead of China's Shanshan Feng and Norway's Suzann Pettersen who both shot final round 75s.
Martin had one birdie and three bogeys to go with her winning eagle on the par-5 last hole.
South Korea's Park Inbee, the overnight leader, was fourth on one over par after a 77.
(Writing by Steve Tongue, Editing by Gene Cherry)
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