Robert Snodgrass scored the only goal of the match two minutes into the second half to give Norwich a first win in five Premier League matches and lift them to 14th in the division.
And Hughton, who has come under increasing pressure in recent weeks, was delighted with the performance of his charges.
"I'm immensely proud," he is quoted as saying by BBC Sport. "There's always a little bit of fear as we were in good form but without getting the results we deserved.
"We had a very committed side against a really talented Spurs side, but it was a win we deserved.
"It was about defending well and John Ruddy came out a couple of times, and our centre-halves were very good. We dug in really well."
The 55-year-old also insisted that the speculation over his job security had not proved a distraction in the build-up to the match.
"Being a manager is a very tough profession, and we have a lot of decisions to make, but the only thing on my mind this week was getting a win today," he added.
"We have a good set of lads here, and a club where we are all pulling in the right direction."
'People will remember us because we got to No.1 in the world rankings and achieved great things - but our biggest regret is that we didn’t win anything': Ex-Everton star Kevin Mirallas opens up on 'honour' of being part of nation's golden generation
‘I’m sure we’d have finished in the top four or five if he hadn’t joined Chelsea in January. Him leaving damaged the team, but we couldn’t stand in his way’: Alan Curbishley reflects on failed Champions League dream after selling key player
