As Norris and Verstappen battled for the lead during the closing stages of the race, the pair crashed into each other, with the Brit retiring from the race and the Dutchman finishing P5.
“I'm also disappointed that at such a great team like Red Bull that the leadership almost encourages it because you listen on the radio and what was said,” Brown said.
“We've seen there be lack of respect, whether it's financial regulations or you know sporting, on-track issues with fathers and things of that nature, and I just don't think that's how we need to go racing and we need to guide our drivers on what's right or wrong and I think had it been addressed earlier maybe that incident wouldn't have taken place.”
When asked if McLaren were ready to fight ‘nasty’ if required against Red Bull, Brown provided a measured response.
"We're prepared to go toe-to-toe," Brown told the media.
"Nasty is not how our McLaren goes racing. But I think you can go toe-to-toe but you don't have to be nasty about it.
"They [Red Bull] seem to at times have a win-at-all-costs mentality. That's not how we go racing. But we think you can go toe-to-toe and take the fight to them our own way."