The 30-share index, which had gained 6.10 points in the previous session, rose by 76.16 points, or 0.27 per cent, to 27,950.89 with infrastructure, realty, oil & gas, healthcare, PSU and auto stocks leading the rise.
The NSE Nifty also edged higher by 20.35 points, or 0.24 per cent, 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.
Among other Asian markets, Japan's Nikkei rose 0.53 per cent, while Hong Kong's Hang Seng gained 0.27 per cent in early trade today.
The US Dow Jones Industrial Average closed at a new record-high by rising 0.23 per cent in yesterday's trade.