The Hang Seng index fell 0.7 percent, to 20,525.86, while the China Enterprises Index lost 0.6 percent, to 8,697.37 points.
Energy, raw material and financial shares led main indexes lower.
Index heavyweight HSBC Holdings Plc dropped 2.5 percent. The lender stuck to its promise of higher dividends on Tuesday, after a 14 percent profit drop fuelled doubts among some investors about the bank's ability to increase payouts.