Domestic institutional investors continued to back the rally, along with positive leads from global markets.
Asian markets logged healthy gains and European shares jumped to a higher opening, tracking Wall Street hitting fresh highs on Friday ahead of this week's US interest rate call and cooling North Korea tensions, traders said.
The 50-share NSE Nifty closed at 10,153.10 -- a new peak -- up 67.70 points, or 0.67 per cent, after shuttling between 10,171.70 and 10,131.30. It broke previous record closing of 10,114.65 hit on August 1.
Reflecting the positive mood, the NSE Bank Nifty breached the 25,000 mark to hit all-time time of 25,105.35, helping the broader Nifty scale a new high.
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The 30-share BSE Sensex also pushed higher by 151.15 points, or 0.47 per cent, to end at 32,423.76, its highest closing since August 2 when it settled at 32,476.74. During the day, it touched a high of 32,508.06.
The gauge had gained 610.64 points in the previous seven straight sessions.
"Market advanced and touched another historic high on firm global cues. Strength in the rupee and a gradual pick-up in FII buying has increased liquidity in the market. On the other hand, focus has now shifted to tomorrow's Fed policy meet," said Vinod Nair, Head of Research, Geojit Financial Services Ltd.
The US Federal Reserve is widely expected to leave interest rates untouched after the two-day policy meeting this week, beginning tomorrow. Investors are also keenly looking for any announcement for trimming of the balancesheet.
Revival of buying by foreign portfolio investors (FPIs), who had been major sellers for a long spell on the Indian bourses, accelerated the buying pace, helping the benchmark Nifty scale new highs.
Domestic institutional investors (DIIs) purchased shares worth a net Rs 125.55 crore while FPIs bought equities of Rs 418.86 crore on Friday, showed provisional data.
Broader markets also put up a good show, with small-cap index soaring to a life high by surging 0.87 per cent to 16,833.58 and mid-cap gaining 0.73 per cent at 16,089.94 on continuous buying by investors.
Auto shares were buyers' radar on expectations of bumper sales during the upcoming festive season.
Bajaj Auto was the star among Sensex components, rallying 3.57 per cent, to Rs 3,129.80. Other bright spots include Hindustan Unilever, Larsen and Toubro, Coal India, Cipla, Dr Reddy's and Hero MotoCorp, rising by up to 2.77 per cent.
The BSE capital goods counter sectorally hummed the most, with a rise of 1.47 per cent, followed by consumer durables, auto and banking.
Globally, Japanese financial markets remained shut today for a public holiday.