Fellow British driver Norris dismissed Hamilton 92nd GP win, an all-time record in the sport after surpassing Michael Schumacher.
Norris suggested the 35-year-old’s Mercedes should be winning every race and that he only had limited competition. Norris also criticised Racing Point’s Lance Stroll following a collision.
The 20-year-old has since apologised for his comments, saying he had been “stupid and careless” and had not shown enough respect.
He wrote on Twitter: “I owe an apology. I’ve been stupid and careless with some things I’ve said lately in media and interviews and, and I haven’t shown the respect I should have to certain people.
“I’m not that kind of person, so I know I should apologise to them but also everyone reading/listening. Sorry.”
Speaking after Sunday’s race, Norris was quoted by RaceFans as saying about Hamilton: “I’m just happy for him, nothing more. It doesn’t mean anything to me really.
“He’s in a car which should win every race, basically. He has to beat one or two other drivers, that’s it. Fair play to him, he’s still doing the job he has to do.”
The McLaren driver also made comments about Stroll following a collision between the pair in Portugal, but later apologised for swearing at the Canadian over the radio. Stroll was given a five-second time penalty and two points on his licence for the incident.
Norris said: “I don’t know what he was doing, really. He went to the left, I didn’t know where he was, really.
“He went to the left which I was quite surprised by when he could very easily have gone for the inside. And I was easily halfway alongside, he just turns in.