A late leveller from Sebastian Bassong prompted the Canaries' manager to praise his side's response to going 1-0 down, asserting that they deserved their share of the points
After an early strike from Steven Naismith put the Merseyside club ahead, Norwich left it until the 89th minute to grab a dramatic point at Goodison Park.
The draw means that the Canaries extend their unbeaten Premier League run to six games, leaving them six points clear of the relegation zone.
Hughton accepted that Everton were the better side in the opening half but was delighted with his side's response in the second.
"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 45 minutes," he told reporters.
"But, when you are 1-0 down, you have to chase it and ask a little bit more of your players, and I think we got that. I thought we responded really well and showed great character."
One worry for Hughton's side was the injury suffered by John Ruddy, goalkeeper and recent England debutant, as he was forced off with eight minutes to go due to a thigh injury.
"We won't know until Sunday," he continued.
"Hopefully he came off at the right time. I certainly had to make sure I brought him off."