The Canaries went into the match on the back of a four-game losing streak and showed eight changes from the side that lost 2-1 at West Ham on New Year's Day.
However, they looked comfortable once Elliott Bennett had given them the lead after half an hour and Simeon Jackson doubled the advantage just before half-time with the impressive Robert Snodgrass sealing the win with a third on 70 minutes.
Canaries goalkeeper Declan Rudd did not have to make a save until the closing stages, highlighting the Canaries' dominance.
Speaking after the game a delighted Hughton said: "Our approach to the game was very good, very professional from the first minute, but of course you need to score goals to give yourself a bit more of a comfortable time.
"I think probably the pivotal time was at half-time because if they get a goal back then it could be a tough afternoon but I thought we were very professional from first to last minute."
When asked about the display of Snodgrass, who scored one and set up another, Hughton added: "He's a good player. I made the decision to make some changes. Robert's one that I know can play games, he's a fit lad. I think he just showed the form that he's been showing for us.
"He's been playing consistently and has been adding some goals to his game and assists. But I thought he was part of a really good all-round team performance today."