The 30-share index, which had gained 19.25 points in the previous session, rose further by 58.28 points, or 0.29 per cent, to 19,978.49 with stocks of realty, capital goods and banking sectors moving up.
The National Stock Exchange index Nifty also gained 14.55 points, or 0.25 per cent, to 5,907.00.
Brokers said buying by funds in select stocks, having strong fundamentals amid a mixed trend in other Asian bourses, influenced the trading sentiment here.
In Asia, Hong Kong's Hang Seng index rose by 0.32 per cent, while Japan's Nikkei shed 0.39 per cent in early trade.
The US Dow Jones Industrial Average ended 0.43 per cent lower in yesterday's trade on mixed economic data.
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