Nathan Broadhead opened the scoring with a close-range shot from a corner to reward the hosts for a dominant first-half display.
But quick reactions from Jonathan Rowe saw him equalise six minutes later, before he capitalised on a brief spell on top for the Canaries to put them in front shortly after half-time to turn the match on its head.
Ipswich dominated most of the game and Burns deservedly drew them level to the relief of the home fans, with a stunning shot into the bottom corner.
But they were unable to find the winner which would have sent them top as Norwich stretched their unbeaten run in the fixture to 13 games.
f-time to turn the match on its head.
Ipswich dominated most of the game and Burns deservedly drew them level to the relief of the home fans, with a stunning shot into the bottom corner.
But they were unable to find the winner which would have sent them top as Norwich stretched their unbeaten run in the fixture to 13 games.
While Ipswich have been the vastly superior side so far this season and remain second in the Championship, they still could not beat their old enemy, with their last win over the Canaries coming in April 2009.
The Tractor Boys pinned Norwich back for large periods of a feisty first half but were unable to bury the bulk of their chances.
Burns – one of four players recalled to the side following the midweek win against Watford – was a constant nuisance and was denied the opening goal by an outstanding block from Shane Duffy.
Seconds later he played in Broadhead for a golden opportunity, but after some excellent footwork to run into the box, Broadhead somehow dragged his shot inches wide. Minutes later, Burns teed up Broadhead for another effort, which he curled wide.
For all the pressure Ipswich built, the Championship’s leading scorers’ unusual lack of composure in front of goal continued as they pounced on a loose pass from Norwich just outside the box, only for Burns to blaze over the bar.
Broadhead finally broke the deadlock just after the half-hour mark at his third time of asking.
When Norwich tried to clear the initial corner, the ball came straight back in and George Hirst headed it on to Broadhead, who struck it into the net for his eighth goal of the campaign.
Yet the euphoria inside Portman Road lasted only a few minutes until Rowe’s equaliser brought the ground to a stunned silence. His diving header missed Sam McCallum’s initial cross and he tried an overhead kick when the ball came back across, before showing rapid reactions to spring up from the ground to prod the rebound in over Gunn.
Out of nowhere, Rowe gave Norwich the perfect start to the second half, hitting the ball on the volley from a long throw, and a small deflection was enough for the ball to trickle under Vaclav Hladky and put the visitors in front.
Still, Ipswich were far from down and out, and while Cameron Burgess headed off target, Burns was definitive in his effort to fire his side back level.
Ashley Barnes was made to pay for some sloppy passing on the edge of the area and Ipswich instantly pounced, playing it out to Burns who drilled his shot past Gunn into the bottom corner.
Ipswich continued to press and looked more likely to find the winner as Norwich created little and seemed more content to take the point.
Broadhead almost snatched all three points with 87 minutes on the clock, only for Gunn to brilliantly tip his curling shot over the bar.