The drummer alleged the former White Stripes star arrived at his local drinking spot and attempted to bully him into a brawl over their long-running feud.
White has been at odds with the Black Keys since 2012 when emails were in which he accused the band if ripping off his sound, an assertion he later repeated before apologising to the band via his website.
However, the bad blood looks set to continue, as Carney took to Twitter.com to detail the latest drama in their feud.
He writes, "I've never met Jack White. Until last night. He came to a bar in Nyc I go to a lot with a few friends and tried to fight me. I don't fight and don't get fighting but he was mad!!!
"He is why I play music. The bully a**holes who made me feel like nothing. Music was a private non competitive thing. Not the best drummer but a passionate one. But any way jack white. A 40 year old bully tried to fight the 35 year old nerd. It might get loud but it might also get really really sad and pathetic."
Having never toured Canada before, in 2007 Jack and Meg White decided to finally take...
Watch the trailer for It Might Get Loud.Together the works of Jimmy Page, Jack White,...