At close, the Sensex was up 259.75 points or 0.32 per cent at 80,501.99, and the Nifty was up 12.50 points or 0.05 per cent at 24,346.70.
At close, the Sensex slipped 0.06%, or 46.14 points, to settle at 80,242.24, while the Nifty edged lower by 0.01%, or 1.75 points, to end at 24,334.20.
At close, the Sensex rose 70.01 points or 0.09% to 80,288.38, while the Nifty edged up 7.45 points or 0.03% to settle at 24,335.95.
The domestic benchmark indices opened higher on Tuesday amid positive cues from global markets, as buying was seen in the PSU bank, auto and IT sectors in the early trade.
At close, Sensex was up 1,005.84 points or 1.27% at 80,218.37 while Nifty was up 289.15 points or 1.20% at 24,328.50.
Sensex closed at 81,867.55, up 126 points, or 0.15%. The index hit its fresh all-time high of 82,129.49.
The Sensex closed 0.35% higher at 81,455.4, 285.94 points above opening price. The index traded between 81,828.04 and 81,434.32.
Sensex opened at 81,349.28 against its previous close of 81,355.84 and settled 100 points, or 0.12%, higher at 81,455.40.
Indian stock market indices opened with gains on Monday following the global rally. On the National Stock Exchange, the Nifty 50 index opened at 24,943.30, up by 108.45 points or 0.44 per cent, while the BSE Sensex gained 346.93 points or 0.43 per cent to reach 81,679.65 points.
The Sensex jumped 1,292.92 points, or 1.62%, to settle at 81,332.72. During the day, it soared 1,387.38 points, or 1.73%, to reach 81,427.18.
