In sectoral indices, Finance, Telecom, Bankex, Realty and Auto pushed the market up while selling in Oil and Gas and IT capped from further gain, broker informed.
The Sensex settled the day at 33,174, up 107.98 points, while the broader Nifty50 ended at 10,184, up 53.50 points.
The strengthening of rupee against the dollar also buoyed sentiment.
Stock markets on Tuesday closed in the green as positive global cues on the prospects of easing trade war fears, along with healthy buying across nearly all sectors led by banking, metals and healthcare stocks, lifted investor sentiments.
However, during the day, it had touched a low of 32,515.17.
The 30-share index was however trading at 33,139.48 at 1115 hrs, showing a gain of 73.07 points, or 0.22 per cent.
Apple's March 2018 iPad event is at 4pm BST today
Holding the event at a school makes Apple one of the people - a group of motivators for the buyers, but straight to the students. Apple won't have a livestream up for the event but we'll have you covered with all the announcements in a few hours.
India's stock markets started on a positive note on Tuesday with Sensex climbing over 100 points tracking the footsteps of Wall Street as Dow Industrials marked the third-biggest point-gain ever on Monday soaring as much as 669 points. Select US tariffs on $60 billion of Chinese imports is a meagre 0.25% of China's GDP, comprising less than 0.5% of world trade. Meanwhile, the Nifty was trading higher by 44.80 points or 0.44% at 10,175.45.
NMDC has declared an interim dividend of Rs 4.3 per equity share.Other than Wipro, shares of Tata Steel, Axis Bank, Yes Bank, State Bank of India, L&T, ICICI Bank, Kotak Mahindra Bank emerged as the lead gainers on BSE Sensex rising up to 2.5%.
The BSE market breadth was bullish with 1,836 advances and 817 declines.
In the Asian region, Japan's Nikkei ended 0.72 per cent higher and Hong Kong's Hang Seng rose 0.79 per cent, while Shanghai Composite Index shed 0.60 per cent.
USA stocks closed sharply higher yesterday bouncing back from strong losses in the previous session as trade tensions between the United States and China appeared to ease.