West Brom kept their unbeaten home record this season against fellow strugglers Norwich at the Hawthorns.
Albion dominated early on and Zolton Gera's shot went just wide while City's Leon McKenzie and Darren Huckerby both missed clear chances when unmarked.
Baggies keeper Robert Green made a fine save after Gary Holt defelected the ball from close range.
West Brom brought on Jason Koumas and Robert Earnshaw to bolster the attack but they could not break the deadlock.
Hungarian international captain Gera almost opened the scoring for the Baggies when his blistering right-footed shot from outside the area flew narrowly past the upright.
The early exchanges were controlled by the home side with Nigel Worthington's side struggling to get into Albion's half.
After 10 minutes the Canaries could have taken the lead when McKenzie volleyed over after a pinpoint cross from Huckerby.
From that point the visitors grew in confidence and became more of an attacking force as the game developed into a more even contest.
There was no doubting the endeavour and commitment on display but the lack of quality for large periods reflected why both sides have struggled since being promoted.
Huckerby missed the most presentable chance of the first half after defender Darren Moore had been caught in possession, but the Norwich striker failed to capitalise, shooting well wide with only the keeper to beat.
Following a through ball from Huckerby which bisected the Baggies defence, Matthias Jonson hit the side netting on 37 minutes.
Throughout, Albion's biggest attacking threat came from defender Moore who unsettled the Canaries rearguard on several occasions from set-pieces.
Norwich keeper Robert Green made a fantastic close-range reflex save after Holt had diverted a cross towards his own goal just before the half-time whistle.
Baggies boss Gary Megson replaced Kanu with Earnshaw early in the second half in the hope of unhinging the Norwich defence with his pace.
The introduction of the Welsh striker gave West Brom renewed impetus and he set up Jonathon Greening and his stinging shot was well saved.
On the hour Greening was taken off and Koumas was brought on in another attacking move by the Albion boss.
The Baggies continued to push forward and Geoff Horsfield's looping header sailed over the bar.
In a last throw of the dice Paul McVeigh and Mathias Svensson were brought on but they failed to make an impression.
The draw means that Norwich are still without a win this season and have not had a victory in the top-flight since December 1994.
West Brom: Hoult, Haas, Gaardsoe, Moore, Albrechtsen,
Gera (Robinson 80), Johnson, Scimeca, Greening (Koumas 69),
Horsfield, Kanu (Earnshaw 58).
Subs Not Used: Contra, Kuszczak.
Booked: Moore, Johnson.
Norwich: Green, Edworthy, Fleming, Charlton, Drury,
Jonson (Helveg 74), Francis, Holt, Bentley (McVeigh 75),
Huckerby, McKenzie (Svensson 80).
Subs Not Used: Safri, Ward.
Booked: McKenzie, Bentley.
Ref: P Crossley (Kent).