Cooper, 39, and the late-night host, 40, faced off in the competition while wearing matching visors and fake hair. They stayed clean in their outfits for several rounds, until one of them finally cracked an unboiled egg on their forehead.
In one particular repeat-worthy moment, the American Sniper actor spoke too soon before becoming a sloppy mess. "I'm clean as a whistle!" Cooper teased. "All you got is s--t all over your face!"
The game came down to the wire, as the two men nervously waited to see who would take home the win. "This is the closest game we've ever had," Fallon said.
So, who came out victorious? Watch the funny video now to see!