The midfielder was disappointed that sloppy play cost him and his side a chance in the game.
It was a disappointing display from Bilic’s side, who so far this season have been excellent on the road with wins over Arsenal, Liverpool and Manchester City under their belt.
They failed to replicate those fine performances at White Hart Lane and Noble says of all their defeats this season, it was the one that hurt them the most.
“This defeat hurts us the most because it is a London derby,” he told whufc.com.
“We have been on the winning side a lot over the last few years but when you go 2-0 down in a London derby it is tough to come back from.”
Harry Kane was in fine form once again for Mauricio Pochettino’s side, as he bagged two goals in the 4-1 win.
The England forward has a fine history in London derbies, with his double extending his lead over Thierry Henry when it comes to goals per game ratio in these fixtures.
His two goals made the difference in Sunday’s game as well, with his second and Spurs third effectively killing off the game.
Noble admits that was the case, but says it was sloppy play from them as a side to concede it.
“They scored straight after half-time and that made it virtually impossible for us. It was a disappointing day,” he added.
“Goals at home can lift the crowd and when Harry Kane scored it made life that much harder for us. The third goal really killed us and it was sloppy play from us.”