Among the Nifty constituents, 32 shares were trading in the green.
In the Sensex pack, 18 stocks advanced, with Titan rising more than 1 per cent.
The global rally, mainly spurred by US chipmaker Nvidia Corp's strong quarterly earnings, has pushed markets in the US, Europe and Japan to record levels.
Sensex and Nifty surged on Thursday, with the latter touching its all-time high closing level of 22,217.45 points.
In Asia, Japan's benchmark index Nikkei 225 jumped more than 2 per cent.
"US stocks surged Thursday, with the Dow Jones Industrial Average and S&P 500 indexes setting another round of records and the Nasdaq finishing just shy of its first record close since 2021, after Nvidia Corp's blowout earnings unleashed a wave of optimism that drove global markets higher," Jasani said.
In the domestic market, Foreign Portfolio Investors (FPIs) were net sellers on Thursday as they offloaded securities worth Rs 1,410.05 crore.