The NSE index rose to a record 9,158.45 before ending the day at a new closing high of 9,153.70, up 68.90 points, or 0.76 per cent, breaching its earlier 9,087 scaled on March 14.
The Federal Reserve, as expected, hiked the key interest rate by a quarter percentage point, but gave a more dovish outlook for future hikes and painted a positive picture of the world's largest economy.
The gauge had shed 44.52 points in the previous session.
Investors continued to soak in BJP's superlative show in Uttar Pradesh and Uttarakhand, which is seen as giving the government more political capital to push through reforms.
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Continued foreign inflows have sparked a rally in the rupee, which hit a fresh 16-month high of 65.41 against the dollar, stoking buying activity.
"Though the record peaks have kept the investors nervy, the prospects of a gradual US rate hike look to have improved the risk appetite, which is also reflected in the marked decline in volatility. This should also mean, save a negative surprise from monsoon forecast, Q4 numbers should prompt investors to be forward looking," said Anand James, Chief Market Strategist, Geojit Financial Services.
Buying activity was so strong that all sectoral indices, led by metal and infrastructure, ended in the green.
Second-tier stocks attracted heavy buying interest from retail investors and notched up handsome gains. The BSE midcap and smallcap indices closed up 1.55 per cent and 1.07 per cent, respectively.
Hefty buying by foreign institutional investors, the main market mover, was seen across the board. FIIs bought shares worth Rs 1,141.13 crore yesterday, as per provisional data.
Adani Ports jumped maximum (4.73 per cent). Tata Steel surged 4.30 per cent amid reports that the company will finalise a decision on UK business merger by May.
Other major Sensex movers were Bajaj Auto (2.31 per cent), Asian Paints (2.23 per cent), Infosys (1.62 per cent), Tata Motors (1.49 per cent) and HDFC (1.47 per cent).
However, Hero MotoCorp dropped by 1.32 per cent, followed by Bharti Airtel, RIL and Coal India.
Foreign funds purchased a net Rs 1,141,13 crore yesterday,
Of the 30-share Sensex pack, 24 ended higher while 6 declined.
The market breadth remained positive as 1,798 stocks ended higher, 1,031 declined and 183 remained flat.