In Hong Kong, the benchmark Hang Seng Index ended 127 points, or 0.5 percent, higher at 24,340 on turnover of HK$312.92 billion.
The tech index was three points, or 0.1 percent, up at 4,679 while the China Enterprises Index was 37 points, or 0.5 percent, higher at 8,103.
Across the border, the benchmark Shanghai Composite Index ended up 53 points, or 1.36 percent, at 3,967.
The Shenzhen Component Index surged 402 points, or 2.77 percent, higher to 14,924 while the ChiNext was 127 points, or 3.43 percent, up at 3,851.
Beijing is due to report economic data for the last quarter on Wednesday.
In Tokyo, the Nikkei share average rallied to end trading 500 points, or 0.74 percent, higher at 67,743, supported by bargain-buying and a tailwind from the tech-heavy South Korean market. The broader Topix gained 31 points, or 0.79 percent, to 4,038.
In Seoul, the Kospi recouped early losses to close trading almost 50 points, or 0.73 percent, higher at 6,856 as foreigners returned after a bruising selloff the previous day and Bloomberg reported that Samsung Electronics is in the early stages of exploring a potential offering of American depositary receipts. (Agencies)
