The 30-scrip Sensitive Index (Sensex) of the BSE, which opened at 31,392.53 points, traded at 31,349.71 points - up 38.14 points or 0.12 per cent, from its previous close at 31,311.57 points.
Among BSE sectoral indices, consumer durables index was the star-performer and was up 1.31 per cent, followed by IT 0.82 per cent, TECk 0.74 per cent and capital goods 0.51 per cent.
Market breadth was negative with 1,150 advances against 1,431 declines.
Punjab National Bank was the top percentage loser on the Nifty PSU Bank index, declining as much as 2.5 percent.More news: Proposed DUP deal would not undermine Good Friday Agreement, insists May
The lift mostly came from Bajaj Auto, Tata Steel, Reliance Industries, L&T, TCS, Hero MotoCorp, M&M, ITC Ltd, Wipro, HDFC and Hindustan Unilever, gaining by up to 2.42 per cent. According to traders, buying activity picked up, mirroring positive cues from the rest of Asia after another record on the Wall Street at the close of last week.
The NSE 50-share Nifty was higher by 10.20 points, or 0.11 percent, to 9,667.75 at 1201 hours.
The US stocks rose on Monday, with both Dow and the S&P 500 climbing to new record closing highs. From its previous session, it gained 255.17 points.
Japan's Nikkei rose more than 1 per cent to a near two-year high on Tuesday, encouraged by rebound in U.S. hi-tech shares as investors bet on solid growth in the economy and corporate profits globally.