The Canaries struck through Anthony Pilkington, Grant Holt and Jonny Howson and were good value for their victory despite two excellent equalisers for Jack Rodwell.
The victory lifted the Canaries into 11th and a satisfactory finish after almost getting dragged into the relegation fight.
Hughton said: "I'm absolutely delighted with that. It shows, irrespective of the anxiety at certain periods, it is really about where you finish at the end of the season.
"We are delighted to have done that.
"We had a very good spell before Christmas, where we were excellent. We found it difficult after Christmas to get the wins we needed and the formulas but we have finished the season strong.
"It would have been nice to be a bit more consistent right the way through but I am delighted to have finished where we have done.
"Even up until a couple of months ago, when we were having a difficult spell, most people couldn't see us finishing in 11th place but that is the league.
"It is about getting the results when you can and hitting good form when you can."