Benchmark indices opened flat in trade, even as Asian cues remained weak, following losses across the US markets.
Investors remained tentative ahead of the US Fed policy meet of June and also ahead of the referendum in the UK, which might even lead to exit of UK from the EU.
The Sensex was trading with losses of 26 points, while the Nifty dropped 5 points in early trade.
Quickheal Technologies which slumped almost 5 per cent in trade, recovered lost ground and was up almost 3 per cent.
ITC continued its superb run for a second successive day and was up 1 per cent, following 5 per cent gains seen on Monday.
About 300 shares advanced in early morning trade, while 221 shares managed to decline.
Meanwhile, the rupee opened at 67.63 to the US dollar, which was marginally weak over Monday's close.
Most of the Asian markets including the Korean Kospi and the Japanese Nikei were weak, following very sluggish cues from US and Europe.