Arsenal missed the chance to draw level on points with Manchester City at the top of the table after Lewis Grabban's equaliser earned a point for Norwich.
The Gunners were gifted the lead when John Ruddy's poor clearance allowed Alexis Sanchez to set up Mesut Ozil.
But the visitors were pegged back by Grabban, who received Robbie Brady's defence-splitting pass and held off the challenge of Gabriel to fire in.
Injuries to Laurent Koscielny and Alexis Sanchez deepened Arsenal's woes.
We were a bit jaded, says Arsenal boss Arsene Wenger
Centre-back Koscielny was forced off in the first half with a hip injury, while forward Sanchez hobbled off after the interval with an apparent hamstring problem.
The Gunners are now two points off the lead in fourth and manager Arsene Wenger may come under renewed pressure to bolster his squad in January to sustain their title challenge.
Norwich, meanwhile, remain 16th but will be buoyed by a display full of heart and determination.
An evening that could ultimately prove damaging to their title aspirations started well for Arsenal as Ruddy's error gave them a deserved lead.
Before the match, the England goalkeeper had addressed criticism of some recent indifferent performances, saying: "I don't think I have been as good [this season] as I have been previously, but form is temporary."
But his hopes of earning Norwich just a second clean sheet in 14 matches were dashed as he scuffed a clearance to Gary O'Neil.
Sanchez nipped in to dispossess the Norwich captain and threaded a through-ball to Ozil, who clipped a deft first-time finish over the goalkeeper.
Ozil completed 67 of 68 passes, despite making many of them in advanced positions
The Germany midfielder has now had a hand in 13 goals in his last 12 league games, with 11 assists and two efforts of his own.
But his well-taken goal was just one facet of a hugely impressive performance, in which he misplaced only one of his 68 passes despite making 57 of them in the Norwich half.
And the 27-year-old could be an increasingly important figure in the coming weeks following the injuries to Koscielny and Sanchez.
The Chilean's loss would be particularly keenly felt as he is Arsenal's joint top-scorer in all competitions this season, with nine goals.
Arsenal face a must-win Champions League encounter against Olympiakos on 9 December and Wenger will be counting on Ozil to shoulder extra responsibility in midfield if Sanchez is ruled out.
Defensive midfielder Francis Coquelin is expected to be out for three months after suffering ligament damage, while Jack Wilshere, Tomas Rosicky, Mikel Arteta, Theo Walcott and Danny Welbeck are also sidelined.
November is statistically Arsenal's worst month under Wenger - they average just 1.6 points a game - and once again their title chase has stuttered in the penultimate month of the year.
The Gunners have taken only two points from three matches, having previously drawn with Tottenham and lost at West Brom.
But, in truth, they were perhaps fortunate to leave Carrow Road with even a point as Alex Neil's side created the clearer chances following the goals.
Wes Hoolahan fired over at the back post from a superb whipped cross from Andre Wisdom, and Jonny Howson volleyed over from a corner after Petr Cech brilliantly kept out Gabriel's inadvertent back-header.
The German midfielder had five shots and completed 98.5% of his passes
Norwich manager Alex Neil: "We conceded the first goal and at that point I thought we had pressed the self-destruct button, but we showed great character to get back into the game.
Norwich showed great character - Neil
"In the second half we started a bit slow and invited Arsenal onto us, but as the half wore on I thought we were the better team.
"Getting the balance right for us was important. At the start of the season we played well but weren't solid enough. Then we became more solid but didn't have enough quality going forward. I thought we got a better balance today."
Arsenal manager Arsene Wenger: "In the second-half Norwich had good chances and we were playing against a team that is physically clever, they defender deep to catch us on the counter attack and we were a bit jaded, not as sharp as usual.
"The quality of the performance was below what we can do offensively."
Arsenal host Sunderland next Saturday, while Norwich visit Watford.
Full Time Match ends, Norwich City 1, Arsenal 1.
90:00 +3:06 Full timeFull Time Second Half ends, Norwich City 1, Arsenal 1.
90:00 +1:54Gabriel Paulista (Arsenal) wins a free kick in the defensive half.
90:00 +1:54Foul by Vadis Odjidja-Ofoe (Norwich City).
90:00 +1:15Attempt blocked. Vadis Odjidja-Ofoe (Norwich City) right footed shot from outside the box is blocked.
88:37Corner, Norwich City. Conceded by Nacho Monreal.
87:12Corner, Arsenal. Conceded by Sebastien Bassong.
84:29 SubstitutionSubstitution Substitution, Norwich City. Cameron Jerome replaces Lewis Grabban.
84:19 SubstitutionSubstitution Substitution, Norwich City. Vadis Odjidja-Ofoe replaces Wes Hoolahan.
82:43Attempt blocked. Mesut Özil (Arsenal) left footed shot from outside the box is blocked. Assisted by Mathieu Flamini.
76:04Attempt missed. Olivier Giroud (Arsenal) header from the centre of the box is high and wide to the right. Assisted by Alex Oxlade-Chamberlain with a cross.
74:44Attempt missed. Graham Dorrans (Norwich City) right footed shot from outside the box is too high. Assisted by Wes Hoolahan.
71:02 SubstitutionSubstitution Substitution, Arsenal. Alex Oxlade-Chamberlain replaces Aaron Ramsey.
70:52 SubstitutionSubstitution Substitution, Norwich City. Nathan Redmond replaces Jonny Howson.
70:15Attempt missed. Jonny Howson (Norwich City) left footed shot from the centre of the box is just a bit too high. Assisted by Ryan Bennett with a headed pass following a corner.
69:35Corner, Norwich City. Conceded by Petr Cech.
67:15Offside, Norwich City. Robbie Brady tries a through ball, but Lewis Grabban is caught offside.
66:20Attempt missed. Héctor Bellerín (Arsenal) right footed shot from the right side of the box is close, but misses to the right. Assisted by Mesut Özil.
62:59Offside, Arsenal. Héctor Bellerín tries a through ball, but Joel Campbell is caught offside.
62:28Attempt missed. Gary O'Neil (Norwich City) right footed shot from a difficult angle and long range on the left is high and wide to the right. Assisted by Wes Hoolahan following a corner.
Corner, Norwich City. Conceded by Mesut Özil.
60:57Foul by Mathieu Flamini (Arsenal).
60:57Wes Hoolahan (Norwich City) wins a free kick on the left wing.
59:58 SubstitutionSubstitution Substitution, Arsenal. Joel Campbell replaces Alexis Sánchez because of an injury.
59:15Delay over. They are ready to continue.
58:30Delay in match Alexis Sánchez (Arsenal) because of an injury.
58:10Corner, Arsenal. Conceded by Sebastien Bassong.
57:18Attempt blocked. Mesut Özil (Arsenal) left footed shot from outside the box is blocked.
56:17 BookingBooking Gary O'Neil (Norwich City) is shown the yellow card for a bad foul.
56:15Aaron Ramsey (Arsenal) wins a free kick in the attacking half.
56:15Foul by Gary O'Neil (Norwich City).
53:40 BookingBooking Santiago Cazorla (Arsenal) is shown the yellow card.
53:33Santiago Cazorla (Arsenal) has gone down, but that's a dive.
52:52Corner, Arsenal. Conceded by Sebastien Bassong.
52:49Attempt blocked. Mesut Özil (Arsenal) left footed shot from very close range is blocked.
47:41Olivier Giroud (Arsenal) wins a free kick in the attacking half.
47:41Foul by Gary O'Neil (Norwich City).
46:31Delay over. They are ready to continue.
45:30Delay in match Santiago Cazorla (Arsenal) because of an injury.
45:12Foul by Santiago Cazorla (Arsenal).
45:12Gary O'Neil (Norwich City) wins a free kick on the right wing.
45:00Second Half begins Norwich City 1, Arsenal 1.
45:00 +3:07 Half timeHalf Time First Half ends, Norwich City 1, Arsenal 1.
45:00 +1:53Olivier Giroud (Arsenal) wins a free kick in the attacking half.
45:00 +1:53Foul by Gary O'Neil (Norwich City).
45:00 +1:14Attempt missed. Wes Hoolahan (Norwich City) left footed shot from the left side of the six yard box is too high. Assisted by Andre Wisdom with a cross.
43:20Santiago Cazorla (Arsenal) wins a free kick in the attacking half.
43:20Foul by Lewis Grabban (Norwich City).
42:20 Goal scoredGoal! Goal! Norwich City 1, Arsenal 1. Lewis Grabban (Norwich City) right footed shot from the centre of the box to the bottom left corner. Assisted by Robbie Brady.
41:21Attempt saved. Robbie Brady (Norwich City) right footed shot from outside the box is saved in the bottom right corner. Assisted by Graham Dorrans.
38:24Santiago Cazorla (Arsenal) wins a free kick on the right wing.
38:24Foul by Martin Olsson (Norwich City).
34:46Corner, Arsenal. Conceded by Ryan Bennett.
34:38Attempt blocked. Aaron Ramsey (Arsenal) right footed shot from outside the box is blocked. Assisted by Mesut Özil.
32:16Offside, Norwich City. John Ruddy tries a through ball, but Lewis Grabban is caught offside.
29:12 Goal scoredGoal! Goal! Norwich City 0, Arsenal 1. Mesut Özil (Arsenal) left footed shot from the left side of the box to the bottom right corner. Assisted by Alexis Sánchez with a through ball.
28:27Attempt missed. Santiago Cazorla (Arsenal) left footed shot from outside the box is close, but misses the top left corner. Assisted by Aaron Ramsey.
27:00Corner, Arsenal. Conceded by John Ruddy.
26:59Attempt saved. Alexis Sánchez (Arsenal) right footed shot from the right side of the box is saved in the top right corner. Assisted by Santiago Cazorla.
26:22Alexis Sánchez (Arsenal) wins a free kick on the right wing.
26:22Foul by Gary O'Neil (Norwich City).
24:51Offside, Arsenal. Héctor Bellerín tries a through ball, but Olivier Giroud is caught offside.
23:35Foul by Mesut Özil (Arsenal).
23:35Gary O'Neil (Norwich City) wins a free kick in the defensive half.
20:54Offside, Norwich City. Graham Dorrans tries a through ball, but Lewis Grabban is caught offside.
18:43Attempt missed. Olivier Giroud (Arsenal) left footed shot from the left side of the six yard box misses to the left. Assisted by Nacho Monreal with a cross.
17:57Delay over. They are ready to continue.
16:48Delay in match Gary O'Neil (Norwich City) because of an injury.
16:03Corner, Arsenal. Conceded by Sebastien Bassong.
16:01Attempt blocked. Mesut Özil (Arsenal) left footed shot from the centre of the box is blocked. Assisted by Nacho Monreal.
13:33Foul by Aaron Ramsey (Arsenal).
13:33Martin Olsson (Norwich City) wins a free kick on the left wing.
11:36Foul by Alexis Sánchez (Arsenal).
11:36Jonny Howson (Norwich City) wins a free kick in the defensive half.
10:55 SubstitutionSubstitution Substitution, Arsenal. Gabriel Paulista replaces Laurent Koscielny because of an injury.
10:30Alexis Sánchez (Arsenal) wins a free kick in the defensive half.
10:30Foul by Wes Hoolahan (Norwich City).
8:36Delay over. They are ready to continue.
7:38Delay in match Laurent Koscielny (Arsenal) because of an injury.
3:08Attempt missed. Alexis Sánchez (Arsenal) right footed shot from outside the box is close, but misses to the left. Assisted by Laurent Koscielny.
0:00First Half begins.
0:00Lineups are announced and players are warming up.
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