Micky Adams' side, who have made an indifferent start to the season, put on their best performance of the season to brush aside Nigel Worthington's men who have yet to score on their travels.
And the Coventry manger will find it hard to bring in new signing Leon McKenzie who was barred from playing in this game after his move from Carrow Road.
The fast and furious opening was down in part to Norwich defender Jason Shackell who was lucky to stay on the field when, with less than two minutes gone, he felled Stern John as the striker ran clear inside the visitors' half.
The centre-half escaped with just a yellow card but it added bite to proceedings at an early stage.
And it was deservedly Coventry who prospered when they took the lead in the 12th minute.
Kevin Kyle, making his first appearance since his £1million move from Sunderland did well to take the ball down and pick out Mark Birchall. The former Port Vale man was given plenty of time but did very well to bring the ball down and then pulled his right foot across the ball and swerved a shot in past Paul Gallacher
Coventry had certainly made the better start and Norwich - with three offensive players in their line-up - were struggling to make much of an impression.
Marcus Hall had to twice throw himself into the path of the ball to prevent Norwich capitalising from a corner just a minute after they went behind.
Coventry could have added a second midway through the first half when Birchall pulled a cross back for youngster Kevin Thornton, but his right foot shot went weakly wide.
Nigel Worthington had seen enough and just after the restart he took off Darren Huckerby and brought on Paul McVeigh but it had little effect.
Coventry stretched their lead in the 62 minute when Kyle started a move by feeding the ball out to Stern John and was then on the end of the Trinidadian's right wing cross to leap and head home.
They made certain four minutes later when John got a slice of good fortune after some very clever footwork when his shot struck a defender and bounced in.
That was the game over and Adams was able to make changes to protect Kyle, who is still short of match fitness after being sidelined for so long at the Stadium of Light.
Norwich only managed a single shot on target throughout the 90 minutes when McVeigh's shot was kept out by Andy Marshall.