The 30-share index, which had gained 6.10 points in the previous session, rose by 76.16 points, or 0.27 percent, to 27,950.89 with infrastructure, realty, oil and gas, healthcare, PSU and auto stocks leading the rise.
The NSE Nifty also edged higher by 20.35 points, or 0.24 percent, to 8,364.60.
Brokers said sentiments remained upbeat as foreign funds and retail investors engaged in enlarging positions on expectations of acceleration in economic reforms by the government after the expansion of the Union Cabinet.
Besides, a firming trend at other Asian markets in line with overnight gains on US markets and falling global crude oil prices, which eased to four-year lows, also bolstered trading sentiments here, they said
Among other Asian markets, Japan's Nikkei rose 0.53 percent, while Hong Kong's Hang Seng gained 0.27 percent in morning trade on Tuesday.
US Dow Jones Industrial Average closed at a new record-high by rising 0.23 percent in Monday's trade.

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