The 30-share BSE barometer closed at 26,631.29 points, up by 138.78 points, or 0.52 per cent over last close after rising to 26,682.64 intra-day.
In the previous two sessions, the index lost 568.53 points as foreign funds and retail investors pulled off cash off the table on fears the Fed will bring forward its timetable for hiking rates as the economy picks up speed.
Global markets in Asia and Europe also rose on speculation China will give its banks some fresh loans.
"Speculation that Fed would maintain its interest rates low and boost growth for now and that China's central bank will provide the country's big banks with fresh loans - keep markets and commodities markets globally upbeat," said Rakesh Goyal, Senior Vice President, Bonanza Portfolio.
Stocks of IT companies that get more than 60 per cent of their revenue from the US led rebound on the bourses as buying intensified.
Dr Reddys surged 2.52 per cent, logging the best gains among 30 constituents of Sensex.
Other gainers which supported the BSE index were Tata Power, Tata Motors, Tata Steel, BHEL, Bajaj Auto, Maruti Suzuki, M&M, Hero MotoCorp, ITC, L&T and RIL.
On the other hand, 10 Sensex stocks ended down led by Cipla and Coal India.
With the improvement in the market's scenario, the mid cap and small cap indices also turned active with buying seen in several of its constituents. Midcap index was up 0.25 per cent and Smallcap rose 0.31 per cent.
FMCG index (0.26 per cent), Healthcare index (0.28 per cent) and Oil & Gas index (0.21 per cent) and Metal index (0.27 per cent) also gained moderately.
