More than 2000 British adults were asked to choose from 25 celebrities, excluding professional comedians, to select the funniest person.
The Tour de France champion came top for quips such as the one he made to crowds by the Champs-Elysees, who went to see him become the race's first British winner.
He told the crowd: "We're just going to draw the raffle numbers now."
London Mayor Boris Johnson came second in the poll, carried out by tele-vision channel Dave, with jokes such as: "My chances of being PM are about as good as the chances of finding Elvis on Mars."
Crystal Palace football manager Ian Holloway was third, and the top five was completed by Apprentice star Lord Sugar and Top Gear's Jeremy Clarkson.
Robbie Williams was sixth, followed by Noel Gallagher, who said of his brother Liam: "He's the angriest man you'll ever meet. He's like a man with a fork in a world of soup."