Hang Seng China Enterprises Index went up 7.59 points, or 0.09 percent, to close at 8,745.56 on Tuesday.
The index, initiated in August 1994 and readjusted on Sept. 11, 2006, tracks the overall performance of 37 Chinese mainland state-owned enterprises listed on the Hong Kong Stock Exchange.
Hang Seng China-Affiliated Corporations Index went up 1.26 points, or 0.04 percent, to close at 3,091.96.
The index tracks the performance of 31 locally listed companies with a significant equity interest held by entities in the Chinese mainland.
However, Hang Seng Mainland Composite Index went down 3.25 points, or 0.11 percent, to close at 2,931.24.
Introduced on Oct. 3, 2001 and readjusted on Sept. 11, 2006, Hang Seng Mainland Composite Index gauges the performance of 103 Hong Kong-listed companies with principal places of business in Hong Kong and the Chinese mainland.