The Hammers played out a 2-2 draw with Norwich at the Boleyn Ground in the Premier League on Saturday afternoon.
Robbie Brady put the Canaries ahead as early as the ninth minute when he seized on Noble's mistake before calmly slotting in.
Diafra Sakho restored parity for West Ham on 33 minutes when he turned in Dimitri Payet's cutback.
Although visiting Norwich made it 2-1 in the 83rd minute through Nathan Redmond, Slaven Bilic’s side denied them an away win as Cheikhou Kouyate found the target late on.
Following the game, West Ham midfielder Noble took to Twitter to admit his disappointment at the final result.
No games easy in the premier league, another tough game today, mistake by me!! but boys dug in and got a good point #COYI— MARK NOBLE (@Noble16Mark) September 26, 2015
Over the course of the 90 minutes at the Boleyn Ground, hosts West Ham had 44% of the possession, took 19 shots of which seven were on target, and earned seven corners.