The 30-share index was up by 33.00 points, or 0.13 per cent, to 23,904.23. The gauge had touched an all-time intra-day high of 24,068.94 in yesterday's trade.
The Sensex had gained 1,527.19 points in the previous three sessions after exit polls predicted that BJP-led NDA will form the government at the Centre.
The NSE Nifty also moved up by 15.40 points, or 0.21 per cent, to 7,124.15.
Brokers said continued capital inflows on hopes of a stable and business friendly government at the Centre buoyed the trading sentiments.
Among other Asian markets, Hong Kong's Hang Seng Index rose by 0.59 per cent, while Japan's Nikkei shed 0.34 per cent in morning trade today.
The US Dow Jones Industrial Average gained 0.12 per cent in yesterday's trade.