Cycling champion Lance Armstrong is still refusing to confirm his relationship with Kate Hudson, despite the pair spending Father's Day together with their kids.

The couple has been romantically linked since they were spotted kissing and cuddling during a party at the Cannes International Film Festival in France in May - and have fueled speculation by dodging questions on the subject, while repeatedly being photographed together.

Armstrong and Hudson spent Sunday in New York with the actress's ex-husband Chris Robinson, their young son Ryder and Armstrong's own three children.

But when he was asked about his day on The Late Show with David Letterman on Tuesday, he smirked and refused to acknowledge Hudson was even with him.

Armstrong said, "I hung out. My kids were here with me in New York City with me so we had a brunch thing and then we went to go see this movie The Incredible Hulk."

- Lance Armstrong Gallery
- Kate Hudson Pictures

(This news article provided by World Entertainment News Network)