Participants were upbeat about the Reserve Bank's monetary policy meet tomorrow, which is expected to announce a cut in rates, traders said.
The Nifty rallied 23.95 points, or 0.23 per cent, to a new record high of 10,101.05, knocking off its previous intra-day high of 10,085.90 it touched yesterday.
The 30-share Sensex too gained 100.51 points, or 0.30 per cent, to 32,615.45. The gauge had risen 205.06 points in the previous session to close at an all-time high of 32,514.94.
Prominent gainers were Wipro, Adani Ports, Hero MotoCorp, Hindustan Unilever and Bharti Airtel, helping the broader Nifty to trade at new life high.
A firm trend in the rest of Asia following a record close on Wall Street contributed to the forward movement. Hong Kong's Hang Seng advanced 0.48 per cent while Japan's Nikkei gained 0.17 per cent in early trade today. Shanghai Composite rose 0.42 per cent.
The US Dow Jones Industrial Average ended 0.28 per cent higher yesterday.