The pair exchanged 'f'-words following the qualifying pitstop bungle on Saturday, which ultimately cost Fernando Alonso his pole position and McLaren 15 championship points.
Dennis and Alonso revealed to the press in Budapest that the incident had been triggered by Hamilton repeatedly ignoring a radio order to let his Spanish teammate past in the 'Q3' phase of qualifying.
"I am in a lot of trouble with my boss," Hamilton told the British broadcaster ITV before he won the race, albeit reiterating that Alonso does not have "a great excuse" for holding him up in the pits.
Championship leader Hamilton revealed after the incident that Alonso had not spoken to him, while Alonso told Spanish reporters that "nobody" in the team is communicating at present with Lewis.
Hamilton confirmed that he is living in a difficult moment within the Woking based team.
"I went to my normal engineers' meeting, and you can imagine the feeling; you feel like you have done something to them," the Briton said.
"It does feel a little bit weird. Ron was obviously extremely angry with me at the time, I don't know if he still is.
"It's a difficult situation, but in the end you have to stand up for what you believe.
"The team (has since) explained it all and I apologised for the decision I took."
After winning following a close battle with Ferrari's Kimi Raikkonen on Sunday, Hamilton admitted that it had been an "emotional" 24 hours.
"You can imagine with all the drama that has happened over the weekend -- it's been a massive downer," he added.
Dennis also admitted to "emptiness" at the chequered flag, given the continuing spy scandal and then the qualifying ruckus.
"I am so drained, it's difficult to have any emotion left," said Dennis, who did not smile despite his protege scoring a third career victory.
He said the saga has "cost us championship points, if we don't follow through with lodging an appeal".
Dennis said his team would make a final decision about whether or not to appeal the stewards' verdict from the peace of the McLaren factory this week. (GMM)