Positive leads from most other Asian markets on easing concerns over the US-China trade war, too, buoyed sentiments.
The 30-share Sensex climbed 413.15 points, or 1.20 per cent, to quote at 34,845.15. The gauge had shed 10 points in Thursday's volatile session.The NSE Nifty leaped 122.85 points, or 1.18 per cent, to 10,503.30.
Investor sentiment got a big push after Brent crude, the international benchmark, dropped below the USD 73-mark to quote at a seven-month low of USD 72.65 by falling 3.48 per cent, traders said.
Adding to the upbeat mood, strengthening rupee against the dollar and a firm trend at other Asian markets, tracking overnight gains at the Wall Street after US President Donald Trump said trade talks with China were "moving along nicely".
Foreign institutional investors (FIIs), which had been selling on the Indian bourses, made fresh purchases worth Rs 348.75 crore Thursday, while DIIs sold shares to the tune of Rs 509.17 crore, provisional data showed.
The big gainers were Asian Paint, Yes Bank, Bajaj Auto, Hero MotoCorp, IndusInd Bank, Tata Motors, M&M, Maruti Suzuki, SBI, L&T, Axis Bank, ITC, Bharti Airtel, HUL, RIL, Kotak Bank and ICICI Bank, gaining up to 5.80 per cent.
Shares of state-run oil market companies such as HPCL, BPCL and IOC rose up to 3.76 per cent, largely supported by fall in crude prices in the global market.
All the sectoral indices led by auto, consumer durables and oil & gas were trading in the positive zone, with gains of up to 2.65 per cent.
Elsewhere in Asia, Hong Kong's Hang Seng rose 2.37 per cent, Shanghai Composite Index was up 1.21 per cent, Japan's Nikkei gained 0.70 per cent, and Korea rallied 2.13 per cent.
The US Dow Jones Industrial Average had gained 1.06 per cent in Thursday's session.