The Canaries fell behind early on to a Steven Naismith shot but Sebastien Bassong headed them level in the final minute and they are now unbeaten in seven games in all competitions.
Asked if he thought his side deserved their leveller, Hughton said: "I thought we did.
"From our standards of late, we conceded a very soft goal and, in that first half, we didn't keep the ball well enough. Everton were the better team over that first 45 minutes.
"But, when you are 1-0 down, you have to chase it and ask a little bit more of the players, and I think we got that. I thought we responded really well, we showed great character.
"I don't think there was masses in it. It was quite a tight affair and, over the 90 minutes, we had a long time to get back in the game."
Goalkeeper John Ruddy had to go off eight minutes from time with a thigh injury but Hughton is hopeful it will not prove too serious.
"We won't know until Sunday," said the boss. "Hopefully he came off at the right time. I certainly had to make sure I brought him off."