"The babies are here. Would you like to see them?" Clooney asks Kimmel before introducing his "manny."
After chatting about his new movie "Suburbicon," which he directed, Clooney told the ABC night-night host that his twins Ella and Alexander were backstage and offered to bring them out for their television debut.
"The babies are here," Clooney said. "Would you like to see them?"
But much to viewers' surprise, his "Suburbicon" star and Kimmel's mortal frenemy walked onto the stage pushing a twin stroller.
"He's my Manny," Clooney said.
Kimmel refused to believe Damon was a "Manny" since that would require the late-night host to admit he's actually a man.
"You're not a man," Kimmel said.
"That's not what your wife said," Damon clapped back.
The duo hilariously went back and forth until Damon finally agreed to show Clooney's kids for the very first time.
"There they are right there," Damon said holding up his middle fingers. "This is screw, and this is you. Screw you!"