Kyrgios beat Kyle Edmund over three-sets but during the tense finale he let out a number of expletives in the direction of his supporters.
The Australian had earlier apologised for using such language but he showed no remorse when the pressure was on.
The BBC were forced to say sorry to those viewing at home and Kyrgios was asked about his thoughts after his victory.
But the world No 21 did not take too kindly to the questioning and hit back with a heated exchange.
Nick Kyrgios row – full transcript
Reporter 1: There seemed to be quite a bit of interaction towards the end with your box. Was that just a sign of you feeling tight and a bit…
Kyrgios: Of course. Great observation by you.
Reporter 2: There was a point earlier in the match when you let out a swear word and then you apologised to the people at the side of the court, but then at the end – well, is that something you’d like to keep more under control or does it not bother you?
Kyrgios: Do you swear?
Reporter 2: Well…
Kyrgios: No, do you swear? Yes or no? Yes or no? Do you swear? Do you swear?
Reporter 2: I have been known to.
Kyrgios: Okay, great. Good question.
Reporter 3: How do you feel the BBC had to apologise on air today about your language? How does that make you feel?
Kyrgios: Fine. I don’t care.
Kyrgios, who beat Andy Murray in round one, will take on reigning Queen’s champion Feliciano Lopez in the quarter-finals.
Meanwhile, Novak Djokovic also booked his place in the last eight with a straight-sets win over Grigor Dimitrov.
Source : EXPRESS