The 30-share barometer gained 126.10 points, or 0.66 per cent, to trade at 19,105.867 points with healthcare, IT, FMCG and consumer durables sector stocks leading the rally.
The barometer had rallied by over 745 points in the past two sessions. The wide-based National Stock Exchange index Nifty moved up by 31.25 points, or 0.55 per cent, to 5,624.20.
Brokers said sustained buying by funds and retail investors after steps taken by new RBI Governor Raghuram Rajan to boost the currency and the overall economy, buoyed the trading sentiments.
The S&P BSE benchmark index Sensex rose by over 126 points in early trade.
The rupee strengthened further by 20 paise to Rs 65.81 against the US dollar in early trade. Among other Asian markets, Japan's Nikkei and Hong Kong's Hang Seng were down up to 1.13 per cent.
The US Dow Jones Industrial Average ended 0.04 per cent higher yesterday.