The won was quoted at 1,176.1 to the dollar at the conclusion of onshore trade, up 0.9 percent from Monday's close of 1,186.6.
The Korea Composite Stock Price Index (KOSPI) closed up 0.9 percent at 1,983.47 points, marking its highest level since Nov. 11.
Foreign investors bought a net 78 billion won ($66.38 million) worth of KOSPi shares, supporting the main bourse.