The yuan finished at 6.8870 per U.S. dollar on the over-the-counter market, having declined 0.5 percent against its central parity rate.
The central parity rate, announced by the China Foreign Exchange Trading System, was 6.8527 yuan per U.S. dollar on Tuesday, compared with 6.8505 yuan on Monday.
On Monday, the yuan also fell by the 0.5 percent daily limit on the over-the-counter market to end at 6.8848 to the U.S. dollar. Monday's move marked the yuan's biggest weakening since China ended the peg to the U.S. dollar in July 2005.
The yuan's central parity rate is based on a weighted average of market makers' price inquiries before the market opens on each business day. The rate is allowed to fluctuate within a band of 0.5 percent on either side of the mid-point.
Zhao Qingming, a senior analyst with China Construction Bank, said the yuan depreciation resulted directly from a stronger U.S. dollar.
"In addition, China has announced many pro-active fiscal and monetary policies to stimulate the economy, which fuels market speculation that the yuan might depreciate against the U.S. dollar to help increase exports," he said.
Ou Minggang, director of the International Finance Research Center at the China Foreign Affairs University, attributed the yuan's depreciation to recent interest-rate cuts in China.
Last week, the People's Bank of China (central bank) cut the benchmark one-year yuan loan rate to 5.58 percent from 6.66 percent and the one-year yuan deposit rate to 2.52 percent from 3.60 percent. The 108-basis-point cuts were the fourth since mid-September and the largest since the Asia crisis of the late 1990s.
Ou said the weaker yuan could help support China's exports.
Monday's unusual yuan move buoyed Chinese textile companies' shares on Tuesday, as investors bet that the weaker yuan could help textile exports.
The shares of nearly 60 textile and garment makers rose by 3.83percent on average. Some, including Ningbo Shanshan and Xinlong Holding, jumped by the 10 percent daily limit.
Wang Qing, Morgan Stanley's Greater China chief economist, said there was "little possibility" that the yuan would continue easing swiftly, as China's October trade surplus reached a monthly high of 35.24 billion U.S. dollars and the country had 2 trillion U.S. dollars in foreign reserves.
