Substitute Kei Kamara scored his first goal in English football with six minutes left to cancel out Leon Osman's first-half header for Everton.
Chris Hughton's hard-working side were not finished yet, though, and secured a first Barclays Premier League win since December 19 when Holt stabbed home at the far post.
Defeat was, however, harsh on Everton, who had been the better side for long spells, with Marouane Fellaini central to all their attacking threat.
Norwich created the first opening on five minutes. Wes Hoolahan played Robert Snodgrass into the left side of the Everton penalty area but his angled shot was blocked by Sylvain Distin as the ball looped up over the crossbar for a corner.
At the other end, Norwich centre-half Michael Turner threw himself in front of Fellaini's drive. The Belgian was then involved in an altercation with Bradley Johnson after being caught on the knee by the Norwich midfielder, which was missed by referee Lee Mason - and he took retribution by barging Johnson over on the far touchline. That was seen and resulted in a free-kick as well as a stern talking to.
It was the visitors who took the lead six minutes before half-time. Left-back Leighton Baines floated the ball across the Norwich six-yard box, where it was missed by Johnson and Sebastien Bassong, allowing an unmarked Osman to glance his header past Mark Bunn.
Hughton made a change on the hour, as Luciano Becchio was replaced by Kamara, on-loan from Major League Soccer club Sporting Kansas City. The Sierra Leone international almost became an instant hero when he tried an acrobatic scissors-kick but it lacked the power to test Tim Howard.
Norwich had more tempo now and were level after 84 minutes. Anthony Pilkington's run down the left saw the ball blocked behind for a corner. Snodgrass' delivery picked out Kamara and his downward header beat Howard as Carrow Road erupted.
The Canaries pressed for a dramatic winner, with Distin's superb block keeping out Holt's close-range effort. However, there was still time for another chance, which the Norwich captain dispatched at the far post after a deep cross from Russell Martin had been nodded on by Bassong.
- Sports & Recreation
- Chris Hughton
- Leon Osman
- Marouane Fellaini