The Sensitive Index (Sensex) of the BSE, which had closed at 39,592.08 points on Wednesday, opened higher at 39,633.97 points.
Minutes into trading, it was quoting at 39,660.66 points, up by 68.58 points, or 0.17 per cent.
At the National Stock Exchange (NSE), the broader Nifty 50, which had closed at 11,847.55 points on Wednesday, was quoting at 11,873.15 points, up by 25.60 points or 0.22 per cent.
As many as 37 stocks advanced in the Nifty 50 index while 12 stocks declined and one remained unchanged. In BSE Sensex 23 stocks including Tata Motors, AITC were trading in green while 7 stocks including Reliance, HDFC Bank were trading in red at 9.20 a.m.
Both the indices on Wednesday had closed higher over signs of easing trade tension between the US and China.
The Sensex was up by 157.14 points, or 0.40 per cent, at the Wednesday's closing. In the day's trade, the barometer 30-scrip sensitive index had touched a high of 39,674.22 points and a low of 39,319.64 points. The Nifty, too, was up by 51.10 points or 0.43 per cent.
On Thursday, Asian indices were showing a positive trend. Japan's Nikkei 225 was quoting in green, up by 1.01 per cent, Hang Seng was also up by 1.10 per cent. South Korea's Kospi was quoting in green, up by 0.77 per cent. China's Shanghai Composite was also trading in green, up by 0.84 per cent.
Overnight, Nasdaq closed in green, up by 0.32 per cent while FTSE was, however, down by 0.08 per cent at the closing on Wednesday.
( With inputs from IANS )