The market on Thursday, the June Future and Options expiry day opened strong with the Sensex trading up 221.86 points or 0.8 percent at 26962.25.
On the other hand, Nifty gained 62.55 points or 0.8 percent at 8266.55.
Shares such as BHEL, Tata Motors, NTPC, Hero MotoCorp and HUL were among top gainers, while GAIL witnessed downfall.
The Indian rupee opened higher by 13 paise at 67.55 per dollar versus 67.68 Wednesday. The experts believe that the consolidation is expected to continue in a choppy currency market as the rupee has recovered well post Brexit vote and has settled in a range.
Among global markets, Asia stocks rose tracking an overnight rally on Wall Street, while the safe-haven Japanese yen retreated as global markets regained a semblance of calm after last week's Brexit shock.
Moreover, the Dow had risen 1.6 percent while Britain's FTSE rallied for the second day, retracing all the losses suffered in reaction to Brexit.
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US President Barack Obama said he expects the world economy will be steady in the short run after Britain's decision but expressed concern about longer-term global growth.
Oil scored a second straight day of solid gains today as US crude inventories fell much more than expected and Brexit fears receded. Oil prices advanced on easing worries about Britain's vote to leave the European Union and its impact on the global economy.