It is a large, adult-sized, bright yellow Platinum Excalibur lifejacket.
"We know he had his lifejacket on him, but we're not sure it he was wearing it or not," Mr Thompson said.
The family are appealing for any sightings of the jacket to provide clues to what may have happened to Mr Kiel.
"If someone sees a new lifejacket with no name on it ... they'll just think somebody's lost it on the beach."
Mr Thompson said apparently anything lost close to the shore would travel north, but anything further out would go south around Cape Palliser.
Mr Thompson also wanted to thank locals who had supported the family with extensive shore searches and in other ways.
"They've been a blessing for us," he said.
Mrs Thompson said the family would stay camped on site for another few weeks a least.