Verstappen and Hamilton were involved in a huge collision on the first lap at Silverstone which led to the Dutchman crashing out.
Hamilton fought back from a 10-second penalty for a crash to claim a dramatic win.
Verstappen was taken to hospital for precautionary tests after the accident and tweeted: “Glad I'm ok. Very disappointed with being taken out like this.
“The penalty given does not help us and doesn't do justice to the dangerous move Lewis made on track.
“Watching the celebrations while still in hospital is disrespectful and unsportsmanlike behaviour but we move on."
Verstappen was sent spinning into the barriers in a highly controversial incident as he and Hamilton were vying with one another wheel to wheel in the opening lap.
As Hamilton looked to go up the inside, the two collided and Verstappen spun off at high speed into the wall.
Red Bull team principal Christian Horner described it as “desperate” and “dirty driving” from Hamilton, who said: “That was my line, he turned in on me.”
Hamilton said he has nothing to apologise for after Horner accused him of putting Verstappen’s life in jeopardy following their 190mph crash.
Asked if Hamilton’s move on Verstappen at Copse put Verstappen’s life in danger, furious Horner replied: “Of course. His actions have left in jeopardy another driver’s safety and for me that is unacceptable.
“Every grand prix driver knows that a move at that corner - one of the fastest in Formula One - is a massive, massive risk.
“You don’t put a wheel up the inside without there being huge consequences. We are just lucky today that there wasn’t someone seriously hurt.
“What I am most angry about is just the lack of judgement, and the desperation in this move. It was never on.
“Lewis is a world champion that has won seven titles. It is an amateur’s mistake and a desperate mistake. Max is battered and bruised. It is the biggest accident of his career.”
The stewards deemed Hamilton to be predominantly at fault for the incident. He was handed a 10-second penalty which he served at his pit stop on lap 27 of 52.
Responding to the criticism, Hamilton, who reduced his championship deficit from 33 points to just seven, said: “I don’t really have anything to say to Christian. The win doesn’t feel hollow.
“I don’t think I am in a position to have to apologise for anything. We are out there racing.
“I heard that Max is in hospital and that definitely concerns me. None of us here ever want to see a driver injured. That is never my intention and so I really hope he is OK, and I will hit him up after this to check he’s OK.
“We are in a battle and this year he has been very aggressive and I’ve had to concede and avoid incident with him. As you saw (on Saturday), once he is out in the clear he’s too fast. So when an opportunity comes I have to try and take it.
“I don’t agree with the stewards but I take my penalty on the chin and get on with my job. I am not going to whine about it.
“Everyone is going to have a different opinion and I don’t really care what people think so I just do what I do and I am really grateful for today.”