Opening sluggish, the market momentum was mostly limited till afternoon amid nervousness loomed by deadlock over Greece negotiations and weak Asian equities.
Later, the sentiments were buoyed on reports of Prime Minister Narendra Modi launching three flagship schemes, including housing for all by 2022.
Sustained buying in key counters of infra, realty, financials, auto and energy along with short covering took the index to a high of 8,423.15.
The second-line stocks also synced the momentum with mid-cap and small-cap shares closing higher.
Asian markets ended lower following overnight losses in US stocks, while European markets were trading lower, weighing stalemate over Greek negotiations.
Meanwhile, foreign portfolio investors (FPIs) bought shares worth Rs 92.57 crore yesterday, as per the provisional data.
The 50-share barometer opened lower at 8,336.25 and hovered between 8,423.15 and 8,329.50 before ending at 8,398.00, showing a gain of 37.15 points, or 0.44 per cent, over its previous close.
Stockwise, top five gainers were Bajaj Auto (4.67 per cent), GAIL (3.38 per cent), Cairn (3.27 per cent), L&T (3.22 per cent) and IndusInd Bank (2.68 per cent).
Turnover in the cash segment climbed to Rs 20,798.34 crore from Rs 16,048.54 crore yesterday.
A total of 10,551.06 lakh shares changed hands in 72,57,447 trades and the total market capitalisation of NSE stood at Rs 98,59,595 crore.
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