The NSE index rose to a record 9,158.45 (intra-day) before ending the day at a new closing high of 9,153.70, up 68.90 points, or 0.76 per cent, breaching its previous record of 9,087 on March 14.
The Federal Reserve, as expected, hiked the benchmark 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 UP and Uttarakhand, which is seen as giving an impetus to the government's reforms drive.
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Continued foreign inflows have sparked a rally in the rupee, which hit an over 16-month high of 65.22 (intra-day) against the dollar, accelerating buying activity further.
"Though the record peaks have kept the investors nervy, the prospects of a gradual US rate hike looks 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 decision on UK business merger by May.
Other major Sensex gainers 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.
The metal index went up 2.84 per cent. Power, consumer durables, infrastructure and capital goods too advanced.