Fourth-placed Queen of the South are currently holding Rangers at half time at Ibrox.
A bumper crowd filled Ibrox following Dave King's takeover last week.
Rangers were on the attack early, with Nicky Clark directing the ball narrowly wide from 18 yards. Lee McCulloch's shot was blocked by a Queens defender 10 minutes later.
Lee Wallace was next to have a go for Rangers but his shot failed to test Zander Clark.
Daniel Carmichael had Queen of the South's first shot in the 24th minute, but could not hit the target from long range.
Youngster Andy Murdoch then had a go, but saw his shot go over the bar.
Rangers were looking to break the deadlock before half time, as first Newcastle United loanee Haris Vuckic's shot was saved, before Jon Daly missed the target.
It was Queen of the South who came closest to scoring though, with Michael Paton hitting the post from inside the penalty area.
Vuckic appealed for a penalty after a strong tackle in the 41st minute, but nothing was given.
Rangers have drawn their last two Scottish Championship matches, and will move level on points with second-placed Hibernian with a win tonight.
