Hong Kong stocks fell 159.74 points or 0.82 percent to close at 19,348.44 points on Tuesday.
The ChiNext Index, tracking China's Nasdaq-style board of growth enterprises, rose 0.55 percent, or 5 points, to close at 920.97 on Tuesday.
China's stock index futures closed lower on Tuesday with the contract for November, the most actively traded, down 0.42 percent from the previous trading day to 2,740.6 points.
Shanghai publicized the bids for China's first ever local government bonds on Tuesday amid high subscription demand as part of the country's pilot project aimed at curbing the debt risks of cash-strapped local governments.
A sharp decline in third-quarter profits, due to sluggish markets, has forced brokers to take stock as a third of listed securities companies reported losses for the year.
The International Monetary Fund (IMF) said on Tuesday that China's financial system is stable and sound.
IMF report "generally objective": PBOC
A China Construction Bank (CCB) spokesman said Tuesday that Bank of America decided to sell most of its CCB shares "for its own reasons," and the sales will not affect CCB's development.
China's stock index futures opened lower on Tuesday with the contract for settlement in November, the most actively traded, down 7 points to 2,745.2 points.
China's Sinopec Group, the parent of top Asian refiner Sinopec Corp, plans to restructure its downstream engineering and construction units before listing them in a public stock offering, industry officials said.
Stocks on the Chinese mainland rose the most in three weeks on Monday. The advance came as investors speculated that the government is relaxing lending curbs to stem an economic slowdown and as lower food prices gave policymakers leeway to ease monetary policy.
The Toronto Stock Exchange opened a representative office in Beijing on Monday, showing expectations for closer Sino-Canadian economic ties.
The Shanghai Stock Exchange said it's "basically ready" to let foreign issuers sell stock, paving the way for companies from HSBC Holdings PLC to Coca-Cola Co to list in the world's second-biggest equity market.