In an interview with The Hollywood Reporter, Renner admitted frustration with speculation surrounding his sexual orientation and love life.
"I want my personal life to be personal, and it's not f**king true," he said.
"And I don't care if you're talking about things that are true, you're still talking about my personal life."
Renner added: "How about I go peek in your window, take what underwear you wore last night, whose husband you were f**king, and shove that in the megaphone throughout your neighbourhood? How does that feel?"
Renner also joked that the press will romantically link him to anyone, saying: "Any person I touched during the Hurt Locker campaign, I was f**king. They had me f**king [my live-in business partner] Kristoffer Winters, my brother. Goddamn, I must be busy!"
The Avengers opens in UK cinemas on April 26 (under the title Avengers Assemble) and on May 4 in the US.
> Read Digital Spy's The Avengers headlines
Watch the trailer for The Avengers below: