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The won was quoted at 1,021.9 per dollar at the end of onshore trade, down 0.2 percent from Monday's 1,020.1 and the weakest close since June 4.
The Korea Composite Stock Price Index (KOSPI) closed up 0.4 percent at 2,001.55 points, above the psychologically important 2,000 threshold, as the weaker won sparked a rally in auto shares.
Hyundai Motor Co advanced 2 percent, the biggest daily percentage gain since May 14, while affiliate Kia Motors Corp ended 2.1 percent higher.