Hughton believes that, although Arsenal enjoyed the majority of the possession, his side did well to keep their chances to a minimum and were good value for the three points.
"It was worth the wait. I thought we deserved the win. They are always going to have lots of possession but we restricted their chances," he said.
"It's a well earned and overdue three points. It was a bout a team performance today. There's never been a lack of belief in the dressing room."
The result lifts Norwich out of the relegation zone and up to 15th in the Premier League table.