The 67-year-old Brit flew into a rage when the first half of her production The Audience was interrupted by a band of 25 drummers playing outside the Gielgud Theatre.
Mirren, who plays the Queen in The Audience, proceeded to march outside dressed as the monarch during the interval and shouted at the group to "shut the f**k up".
Explaining the incident, she tells Britain's Daily Telegraph, "I'm afraid there were a few 'thespian' words used. They got a very stern royal ticking off but I have to say they were very sweet and they stopped immediately.
"I would love to track them down and invite them to see the play. I felt rotten but on the other hand they were destroying our performance so something had to be done. The drumming just slowly got louder and louder and then settled right outside the stage door. There was just a thin wall between drumming and the theatre so it was unbelievably loud on stage. (Co-star) Paul Ritter and I could hardly hear each other speak and the audience couldn't hear us speak at all."
The actress, who won an Olivier Award for her role as Her Majesty last week (ends05May13), apologised to the audience for the disruption, and was given a standing ovation for her foul-mouthed rant.
Theatre-goer Ben Scotchbrook says, "She laughed as she said she'd told them 'not too politely to go away'. She got a standing ovation at the end."