The 30-share index scaled an all-time high of 32,687.32 in early trade before ending up by 200.95 points at 32,633.64, the highest closing level so far.
The broader NSE Nifty zoomed past the 10,200-mark for the first time to hit an all-time high of 10,242.95 in early trade. However, it pared some of gains to settle at record closing level of 10,230.85, up 63.40 points, or 0.62 per cent. It broke previous record high of 10,167.45, hit on October 13.
"Optimism over Q2 earnings and positive global cues continued to drive market to fresh highs," said Vinod Nair, Head of Research, Geojit Financial Services Ltd.
"Q2 results will gather significance in coming days with the earnings of Index heavyweights and decide the markets momentum," Nair said further.
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The rupee appreciating further to 64.68 against the dollar (intra-day) at the forex market too fuelled the rally.
Sentiments got a lift after IMF chief Christine Lagarde on Saturday said the Indian economy is on a "very solid track" in the mid-term, triggering all-round buying activity, brokers said.
Unabated buying by domestic institutional investors (DIIs) helped the key indices scale new highs.
A firming trend at other Asian markets and a higher opening of European shares tracking gains across the US and Asia as investors bet on another strong earnings season, also boosted sentiments.
In the euro zone, stock exchanges in Frankfurt and Paris were up by 0.20 per cent each in early trade. London's FTSE also rose 0.30 per cent.
Other big gainers included M&M (3.08 per cent), Tata Motors (2.85 per cent), Hindustan Unilever (2.63 per cent), Sun Pharma (2.52 per cent), Cipla (2.42 per cent), Dr Reddy's (1.93 per cent), Bajaj Auto (1.80 per cent), TCS (1.11 per cent), ONGC (1.06 per cent), ICICI Bank (0.98 per cent), Lupin (0.79 per cent), Infosys (0.79 per cent) and Coal India (0.76 per cent).
However, Axis Bank fell by 1.65 per cent, Wipro 0.62 per cent, Maruti 0.31 per cent, NTPC 0.28 per cent and Adani Ports 0.26 per cent.
The broader markets too continued to remain in bullish form with the midcap index rising by 0.52 per cent and smallcap index finishing 0.30 per cent higher.
The market breadth remained negative as 1,401 stocks ended in red, 1,303 closed in green while 140 ruled steady.