The 55-year-old says his side created enough chances to beat the Welsh club and was disappointed with the manner in which they conceded two second-half goals
The Canaries took an early lead and were dominant for large periods of the game - though two goals in two minutes from Craig Bellamy and Kenwyne Jones at the start of the second half proved their undoing.
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He said: "We made the mistakes ourselves. In the first half period, when I thought we were very good, we got the first goal and I thought we were comfortable enough in that first half period.
"We knew that if we could continue doing the good things that we did that the game would open up a little bit and we’d get a few more opportunities but you can’t give away, particularly early in the second half, you can’t give away the two goals that we did.
"You can’t make the mistakes that we’ve made in the vital areas as, of course, that gives them the lift that they want and it changes the whole atmosphere in the stadium.
"But I still felt that we kept pushing [after Cardiff’s second goal], we had chances, I think the stats will show the amount of crosses that we got into the box and the amount of shots that we’ve had on target.
"Their goalkeeper has had a good day, it’s one that’s got away from us. I’m still scratching my head as to how we’ve lost this game but perhaps that’s how it’s been for us for part of the season."
Hughton’s opposite number, Ole Gunnar Solskjaer, also took time to praise goalkeeper David Marshall - who made three stunning second-half saves - and hailed his stopper’s outstanding performance.
When asked about the 28-year-old, the former Manchester United striker replied: "He kept us in the game, he was outstanding. There’s nothing wrong with having a good goalkeeper, is there?"