The weakness in dollar against some currencies overseas after US Federal Reserve chairman Jerome Powell said that the central bank would remain alert to risks to financial stability in the wake of recent market rout also supported the rupee's upmove.
The US dollar hit a five-month low against the yen after Japans economy recorded its longest growth streak in 28 years.
Besides, industrial output grew 7.1 per cent in December and selling of the American currency by exporters supported the rupee, forex dealers said.
On Monday, the rupee had ended 8 paise higher to end at 64.32 against the dollar on fresh selling of the American currency by exporters and banks in line with strong domestic equity market.
The benchmark BSE Sensex rose 172.96 points, or 0.50 per cent, to trade at 34,473.43, while the NSE Nifty climbed 41.50 points, or 0.39 per cent, to 10,581.25 today.
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