Former Arsenal and Tottenham defender Sol Campbell was subjected to alleged racial and homophobic comments from sections of the travelling Spurs supporters during the game at Portsmouth last Sunday and Hampshire police are now investigating.
Wenger insists no matter what the circumstances, such actions have no place in the modern game.
"My reaction is that abuse cannot be tolerated from anybody towards anybody in the world," said the French coach.
"How can you fight against it? You can single out people who do it.
"You can punish them individually by not letting them in, then maybe single out a group of people who go from game to game and do it.
"Sometimes stupidity is contagious as well and sometimes in the crowd there is a competition to see who can be more stupid.
"That is why you should not let these people be together."
Wenger continued: "There is, though, a big tolerance and the abuse only becomes singled out when it is racism.
"That is not the only abuse which you get in the stadium, but maybe people only get touched by it when it is racism.
"Insults of any way should not be tolerated either."
He added: "The racist abuse is much worse in some other countries than in England.
"I believe that England has shown the right direction and the right way by not tolerating it and has done much more than any other country maybe in the game.
"That's why the problem we saw comes up again because people don't accept it.
"In this country I find they are a model to copy in the (other) countries."