Support for Conservatives stood at 33%, down one point since last week, while Labour support also dropped by one point to 32%.
The Liberal Democrats, junior coalition partners to the Conservatives, were on 8%, the anti-European Union party UKIP on 14%, and the Greens on 6%.
"With polling day round the corner, polls suggest Labour and the Conservatives have reached stalemate," said Michelle Harrison, head of political and social research at TNS.
Get the latest headlines from US news and global updates from Pakistan, Nepal, UK, Bangladesh, Russia and US Iran war Live, get all the latest headlines in one place on Hindustan Times.
Home/World News/UK Elections: Conservatives One Point Ahead, Polls Reveal