Asian cues offered hope, backed by a record close in the US, which emboldened investors.
The 30-share index was up 131.84 points, or 0.42 per cent, at 31,353.46. Sectoral indices led by metal, realty, power, consumer durables, oil and gas, auto and banking made headway.
The gauge had gained 387.30 points in the previous three sessions making a strong bet on the Goods and Services Tax (GST).
The NSE Nifty on Tuesday went up 35.65 points, or 0.37 per cent, to 9,650.65.
NTPC too rose 1.02 per cent to Rs 158.20 on reports of the company considering bonus shares issue.
Japan’s Nikkei was up 0.43 per cent while Hong Kong’s Hang Seng index rose 0.05 per cent in morning trade. Shanghai composite, however, shed 0.49 per cent.
The US Dow Jones Industrial Average ended at record high by rising 0.61 per cent on Monday.