Both benchmark indices were driven strong gains mainly in metal, banking, IT and infra shares amid earnings optimism.
The major trigger behind the boost in investors optimism was the International Monetary Fund's forecast that India's GDP growth will hit 7.4 per cent in 2018-19 and the country will regain the status of the world's fastest growing major economy.
Finally, the 30-share index settled at 36,139.98, up 341.97 points, or 0.96 per cent, breaching its previous record of 35,798.01 reached yesterday. The gauge had risen 1,026.96 points in the previous four sessions.
The Sensex took just five trading sessions (January 17- 23) to reach the historic 36,000-level from 35,000, while the NSE Nifty advanced to 11,000-mark from 10,000 in six months (July 26, 2017 to January 23, 2018).
It closed the session with a hefty rise of 117.50 points, or 1.07 per cent, at a fresh life high of 11,083.70, bettering its previous record close of 10,966.20 reached in yesterday's trade.
Religare Broking President Jayant Manglik said: "Propelled by a combination of liquidity and optimism, Nifty rose to an all-time-high crossing 11,000. This bull run, lasting for more than a year now, has seen markets ignore higher crude prices and global geopolitical issues while latching on to domestic positives...Such buoyancy in markets was last seen in 2000."
Meanwhile, foreign portfolio investors (FPIs) bought shares worth a net Rs 1,567.51 crore, while domestic institutional investors (DIIs) sold equities worth Rs 461.87 crore yesterday as per provisional data.
Stocks of private sector lender Axis Bank ended 1.28 per cent higher after the company yesterday reported 25.34 per cent rise in net profit to Rs 726.44 crore for the December quarter of the current fiscal.
Mid-cap and small-cap indices continued to be on investors' radar and rose up to 1.13 per cent.
Coming to global markets, most of other Asian markets too ended higher and European shares were up in their early deals, tracking record closing at the Wall Street in yesterday's trade.
In the Asian region, Japan's Nikkei surged 1.29 per cent, Hong Kongs's Hang Seng gained 1.66 per cent, Shanghai Composite Index rose 1.29 per cent, Singapore 0.63 per cent, Taiwan 0.19 per cent and Korea 1.38 per cent.
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