Lenders led the rise with Axis Bank, SBI, HDFC Bank, ICICI Bank rallying in the range of 1.65 per cent to 2.88 per cent.
In volatile movements, the 30-share gauge opened on a strong footing but succumbed to profit-booking and slipped into the negative zone to touch a low of 28,622.44.
However, it staged a strong comeback following a flurry of buying in the later part of the session to close higher by 177.46 points or 0.62 per cent higher at 28,885.21.
The wide-based NSE Nifty index spurted by 63.90 points, or 0.73 per cent, to close at 8,778.30. During the session, it shuttled between 8,785.50 and 8,682.45.
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Brokers said sentiments bolstered with banking stocks witnessing buying interest after Moody's raised India's credit rating outlook to 'positive' and said an upgrade in its sovereign rating is also possible in the next 12-18 months.
The BSE banking index gained the most by rising 2.58 per cent.
Out of 30-Sensex stocks, 18 ended with gains, while 12 others finished in the negative zone.
Among other sectoral indices, metal rose by 1.43 per cent, PSU index 0.89 per cent, IT index (0.50 per cent) and Power index (0.37 per cent), among others.
In tandem with overall trends, smallcap index rose 0.71 per cent while BSE midcap index edged up by 0.25 per cent.
Foreigners sold shares worth Rs 479.18 crore, while Domestic Institutional Investors bought shares worth Rs 382.54 crore yesterday, as per provisional data.