The broader NSE Nifty too recaptured the 7,600-mark.
Shares of IT major, TCS emerged as the top gainer among Sensex constituents with a rise of 3.21 per cent to Rs 2,427.25 followed by GAIL at 3.13 per cent to Rs 364.15.
Barring pharma, all the segments like power, telecom, realty, banking, infra and auto gained.
The rupee appreciating to an over two-month high against the dollar also boosted trading sentiment.
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"Global central banks' policy action has favoured the domestic market. The continuous inflow of foreign funds and pickup in the Chinese market has created a positive sentiment in the market," said Vinod Nair Head of Fundamental Research at Geojit BNP Paribas.
On the day, Sensex opened higher at 24,729.41 and moved between 24,986.94 and 24,681.64, before ending at 24,952.74, showing a sharp rise of 275.37 points or 1.12 per cent - its highest closing since January 6.
Sentiment was bullish on firm Asian cues on dovish US Federal Reserve stance, underpinned by continued capital inflows into emerging markets loomed over the momentum.
DLF's scrip ended over 2 per cent higher after the company sold its shopping mall at Saket in the national capital to its wholly-owned subsidiary for Rs 904.5 crore as part of the strategy to consolidate and monetise the rental assets.
Meanwhile, foreign investors bought shares worth a net Rs 744.49 crore yesterday, provisional data showed.
Asian markets ended higher after US indexes closed higher overnight and oil prices hit their highest levels for this year while stronger Asian currencies against the dollar also aided the sentiment.