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.
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.
- Relive the action from Carrow Road
- "It's injury after injury" - reaction from the 5 live Football Daily podcast
Rusty Ruddy costs Canaries
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 influential as injuries bite
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.
Norwich deepen Arsenal's November pain
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.
Man of the match - Mesut Ozil
What they said
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.
"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."
The stats you need to know
- Arsenal have conceded six of their 12 goals this season in the 15-minute period before half time.
- Mesut Ozil has had a hand in 10 of Arsenal's 14 Premier League goals since 4 October (two goals, eight assists).
- Norwich have managed only one clean sheet in the Premier League this season, a joint league-low total (alongside Bournemouth).
- Lewis Grabban has not ended up on the losing side in any of the last 24 games in which he has scored (W19 D5) for Norwich and former club Bournemouth - the last time he lost a game in which he scored was back in October 2013.
What's next?
Arsenal host Sunderland next Saturday, while Norwich visit Watford.
LINEUP, BOOKINGS (2) & SUBSTITUTIONS (6)
Norwich City
- 01 Ruddy
- 03 Wisdom
- 24 R Bennett
- 06 Bassong
- 23 Olsson
- 28 O'Neil Booked
- 18 Dorrans
- 08 Howson (Redmond - 71' )
- 14 Hoolahan (Odjidja-Ofoe - 85' )
- 12 Brady
- 07 Grabban (Jerome - 85' )
Substitutes
- 05 Martin
- 09 Mbokani Bezua
- 10 Jerome
- 13 Rudd
- 21 Mulumbu
- 22 Redmond
- 32 Odjidja-Ofoe
Arsenal
- 33 Cech
- 24 BellerÃn
- 04 Mertesacker
- 06 Koscielny (Gabriel - 11' )
- 18 Monreal
- 20 Flamini
- 19 Cazorla Booked
- 16 Ramsey (Oxlade-Chamberlain - 72' )
- 11 Özil
- 17 Sánchez (Campbell - 60' )
- 12 Giroud
Substitutes
- 02 Debuchy
- 05 Gabriel
- 13 Ospina
- 15 Oxlade-Chamberlain
- 21 Chambers
- 28 Campbell
- 54 Reine Adelaide
Ref: Jonathan Moss
Att: 27,091
Live Text Commentary
Full time
Full TimeMatch ends, Norwich City 1, Arsenal 1.
90:00+3:06Full time
Full TimeSecond Half ends, Norwich City 1, Arsenal 1.
90:00+1:54
Gabriel Paulista (Arsenal) wins a free kick in the defensive half.
90:00+1:54
Foul by Vadis Odjidja-Ofoe (Norwich City).
90:00+1:15
Attempt blocked. Vadis Odjidja-Ofoe (Norwich City) right footed shot from outside the box is blocked.
88:37
Corner, Norwich City. Conceded by Nacho Monreal.
87:12
Corner, Arsenal. Conceded by Sebastien Bassong.
84:29Substitution
SubstitutionSubstitution, Norwich City. Cameron Jerome replaces Lewis Grabban.
84:19Substitution
SubstitutionSubstitution, Norwich City. Vadis Odjidja-Ofoe replaces Wes Hoolahan.
82:43
Attempt blocked. Mesut Özil (Arsenal) left footed shot from outside the box is blocked. Assisted by Mathieu Flamini.
76:04
Attempt 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.
74:44
Attempt missed. Graham Dorrans (Norwich City) right footed shot from outside the box is too high. Assisted by Wes Hoolahan.
71:02Substitution
SubstitutionSubstitution, Arsenal. Alex Oxlade-Chamberlain replaces Aaron Ramsey.
70:52Substitution
SubstitutionSubstitution, Norwich City. Nathan Redmond replaces Jonny Howson.
70:15
Attempt 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.
69:35
Corner, Norwich City. Conceded by Petr Cech.
67:15
Offside, Norwich City. Robbie Brady tries a through ball, but Lewis Grabban is caught offside.
66:20
Attempt missed. Héctor BellerÃn (Arsenal) right footed shot from the right side of the box is close, but misses to the right. Assisted by Mesut Özil.
62:59
Offside, Arsenal. Héctor BellerÃn tries a through ball, but Joel Campbell is caught offside.
62:28
Attempt 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.