The Hang Seng Index dropped 0.58 percent, or 138.89 points, to close at 24,006.45.
Mainland China's benchmark Shanghai Composite Index rose 0.31 percent, or 8.76 points, to close at 2,819.94.
And the Shenzhen Composite Index, which tracks stocks on China's second exchange, ended 0.48 percent, or 8.26 points, higher at 1,744.39.