The Sensex opened higher by 123 points at 19,003 whereas the Nifty surged by 33 points at 5,731.
Global risk appetite improved amid speculation the Federal Reserve will continue stimulus measures to boost the world’s biggest economy, US. Dow Jones gained 38 points to 14127.82 while Nasdaq rose 12 points to end at 3182.03.
Asian shares rebounded strongly on Tuesday after a sharp sell-off triggered by slumping Chinese stocks the previous session, as a globally accommodative monetary stance helped revive risk appetite.
The MSCI's broadest index of Asia-Pacific shares outside Japan jumped 1% after tumbling 1.3% as Chinese shares dived on concerns Beijing's move to tighten the housing market could weigh on growth.