Canaries boss hails his sides commitment and control after home win over fellow promoted side and lavishes praise on striker Morison's performance after energetic display
Anthony Pilkington's brace and a Russell Martin header secured the win, the first of Pilkington's goals coming in the first minute which delighted and worried Lambert in equal measure.
"It's obviously nice but sometimes it can affect you scoring that early," Lambert told BBC Sport after the game. "But we got the second goal and I thought we were playing really well.
"Then Swansea scored and had a bit of possession which they're entitled to do because they're a very good side and Brendan [Rodgers] has got them playing ever so well.
"But I thought after that we were excellent, especially in the second half, I thought we controlled the game and deserved to win."
The match was played at a frantic pace with both sides trading possession and chances in equal measure, and Lambert would have maybe preferred an easier afternoon on the touchline.
He continued: "It's okay playing open, great football for the public who come to watch but also realise I've got to win.
"I hear the cliché that they're a great footballing side but I thought we were great and I'm very proud of the team.
"I'm over the moon with what they've done, not just this year but the last two years, they've been a credit to themselves and the fans have bought into it which is great.
"We showed at Old Trafford we can give teams a scare."
Swansea were troubled by Norwich's attacking threat all afternoon and despite not scoring, striker Steve Morison put in a fantastic performance and his manager was keen to praise him as well as goal scoring hero, Pilkington.
"Morison was as good a display for a number nine that I've seen in a long time, I thought he was terrific.
"He's had a tough week with Wales but he was really excellent.
"And Pilkington, everyone spoke of his chances at old Trafford but today he showed how big a player he is for us, scoring two goals.