Norwich had the better of the game early on, but after a succession of crosses, they were unable to test David Marshall in the Cardiff goal.
Peter Whittingham had an opportunity from a free kick but was unable to beat the first man.
Gary Hooper then almost got in behind the away defence, but the ball ran away from him.
Robert Snodgrass then had a sight of goal but could only fire wide.
The ball was soon up the other end, however, and this time it was Jonny Howson who forced Marshall into a save with a low shot. From the resulting corner, Leroy Fer thought he had scored but Whittingham was able to clear off the line.
Hooper then hit a shot from distance but found Marshall's gloves again.
Just before the break, the ball rebounded off the Cardiff post and hit Hooper but, luckily for the away side, Marshall was able to gather.