Neither side appeared to have the drive or determination to break the deadlock in a season that will end trophy-less for both clubs.
Newcastle's slim hopes of a UEFA place are as good as over - the best they can hope for being a shot at the much maligned Intertoto Cup for a second successive season.
For Arsenal, it looks like being a season that can't come to an end soon enough.
The best efforts saw James Milner rattle the Arsenal bar while Gilberto had two shots cleared off the line by Nobby Solano.
Alexander Hleb created the first chance with a left-footed drive that brought a good low save from Shay Given.
At the other end, Solano broke on the right and his telling cross was just deflected wide of the onrushing Kieron Dyer.
Jens Lehmann then came to the Arsenal rescue when an Emre free-kick broke to Steven Taylor and the big defender looked on course for goals in successive games, only to see the German defender claw out his low shot.
Newcastle suffered a setback after 26 minutes when Given limped off with what appeared a recurrence of his groin injury, with Steve Harper taking over in goal.
Emmanuel Adebayor should have done better than to head over when meeting a Cesc Fabregas corner on the half hour.
Newcastle finished more strongly and Damien Duff had two good chances. First he saw Gael Clichy force a shot wide and then pulled an effort wide himself when in a great position.
The woodwork came to the rescue for Arsenal just 30 seconds into the second half when Milner made space on the right and his deep cross sailed over Lehmann and crashed to safety off the bar.
Dyer limped out of action after 52 minutes to be replaced by Charles N'Zogbia, but the young Frenchman struggled to make any impression on the game.
With Obafemi Martins ineffective up front, Newcastle were left with few options having already lost Dyer.
But it was not much better at the other end where Adebayor and Abou Diaby made little impression against the Newcastle rearguard.
The best chances for the Gunners came six minutes from time when Stephen Carr was caught ball-watching and twice Solano had to be at his brave best, blocking Gilberto shots on the goal-line and winning praise from Harper for his heroics.
A draw was by far the fairest result for both teams, who overall lacked any clinical finishing.