The won was quoted at 1,096.4 to the dollar at the end of onshore trade, compared to 1,100.8 at Monday's close.
South Korean shares edged higher on Tuesday to extend a five-month high, breaking above the psychologically important 2,000-point level.
The Korea Composite Stock Price Index (KOSPI) closed up 0.2 percent at 2,001.38 points.