But by frustrating the Foxes they gained the point which keeps them in touch with the top two places in Nationwide Division One.
The most exciting moment in the first half for the home fans was when Frank Sinclair intercepted Paul McVeigh's throughball.
The former Chelsea defender failed to find his keeper with the back pass and had to race back to prevent an embarrassing own goal.
In a highly competitive game there was a flurry of yellow cards, three for Norwich and six for Leicester.
In other departments honours were even with defenders coming out very much on top.
Ten minutes into the second half James Scowcroft was lucky to escape a booking for a late tackle on Adam Drury and three minutes later Robert Green did well to gather Scowcroft's deflected shot.
At the other end Ian Walker had less of a problem in collecting McVeigh's long-range effort.
Alan Rogers then picked out Gerry Taggart with a left-wing corner but the Irishman's header narrowly cleared the crossbar.
Scowcroft got his yellow card in the 67th minute for a foul on Neil Emblen.
Green came to the rescue for Norwich with two vital saves, first turning away Sinclair's header for a corner, then holding on to Matt Elliott's snapshot.
Just 12 before the final whistle Sinclair made amends for his earlier error by causing problems for the Norwich defenders with a dangerous right-wing cross which was hacked behind for a corner.
Phil Mulryne's shot was deflected for a corner and a volley from Gary Holt landed on top of the net.
In the end both sets of supporters seemed happy with a point apiece as they consolidated their places in the league table.