The NSE Nifty also traded above the 10,750 mark by gaining 43.05 points, or 0.40 per cent, to 10,758.55.
The barometer 30-scrip Sensitive Index (Sensex), which opened at 35,349.85 points, closed at 35,216.32 points (3.30 pm) - up 8.18 points or 0.02 per cent - from its previous session's close.
Indian shares edged up on Tuesday, aided by a surge in ICICI Bank on hopes of improvement in the private-sector lender's asset quality after it announced March-quarter results post market hours on Monday.
The BSE Sensex closed 8 points higher at 35,216 on Tuesday, rising for a second straight day. It touched a low of 10,689.40 intra-day.
In the Sensex pack, ICICI Bank emerged on top with a rise of 6.86 percent, followed by SBI 1.42 percent and Axis Bank 1.18 percent.
Premier League Giants Preparing £44m Move For Anthony Martial
Many Manchester United fans, led by their manager, are now also coming around to the idea of seeing the back of Martial. According to the UK Mirror , the deal could be worth around £80million.
Meanwhile, on a net basis, Foreign Portfolio Investors (FPIs) sold shares worth Rs 635.24 crore while DIIs bought shares to the tune of Rs 1037.23 crore on Monday, a provisional data showed. The S&P BSE Small-Cap index inched up 0.10 percent while the mid-cap index shed 0.10 percent.
On the other hand, the S&P BSE consumer durables index fell by 183.10 points, the capital goods stocks dropped 165.05 points and the auto stocks ended 108.36 points lower.
Asian shares were mixed despite the strong closing on Wall Street as investors digested last weeks trade talks and USA jobs numbers. The major losers were IndusInd Bank, Mahindra and Mahindra and Larsen and Toubro.