The Hang Seng Index dropped 0.17 percent, or 46.59 points, to 28,059.82.
The benchmark Shanghai Composite Index opened 0.18 percent, or 5.25 points higher, at 2,946.26.
The Shenzhen Composite Index, which tracks stocks on China's second exchange, gained 0.06 percent, or 0.93 points, to open at 1,575.88.