The Canaries claimed an emphatic 4-0 win over West Brom at Carrow Road yesterday to ensure their fate will not go down to next weekend's final day of the season.
"It means absolutely everything," said former Newcastle and Birmingham boss Hughton.
"I'm not the most outwardly emotional person, but I'm chewing up inside.
"It's certainly my most satisfying (achievement), because of the pressure of the day.
"For this club, for this moment and the pressure on this game, this would probably be my proudest moment."