Sustained FII inflows kept the momentum going for Indian shares despite mixed trend seen elsewhere in Asia in the wake of anti-austerity Syriza party's victory in Greek elections.
Hopes of pick up in foreign investments in India after the ECB launched a landmark bond-buying stimulus programme to revive euro zone economy provided good support, traders said.
The BSE Sensex resumed higher at 29,451.65 and rose further to lifetime high of 29,618.59 before ending at all-time closing high of 29,571.04, showing a gain of 292.20 points or one per cent.
The CNX 50-share Nifty also gained 74.90 points, or 0.85 per cent, to hit all-time closing high of 8,910.50 after hitting historic high of 8,925.05.
"Domestic markets upheld the prevailing upside momentum on Monday and scaled to newer highs....Buoyancy was triggered by the US president on his visit to India as he pledged investment and loans worth USD 4 billion in order to promote trade and business with India," said Religare Securities, President-retail distribution, Jayant Manglik.
US President Barack Obama today left for Saudi Arabia, wrapping up his 3-day visit during which both the countries broke a seven-year logjam to operationalise a landmark civil nuclear deal, besides boosting defence and trade ties.
In key earnings, stocks of Maruti Suzuki India rose by 2.12 per cent after the country's largest car maker reported 17.8 per cent growth in net profits for the third quarter.
Foreign Portfolio Investors (FPIs) bought shares worth a net Rs 2,019.98 crore last Friday as per provisional data.