The Daily Mirror said that the catwalk stars will show-off British fashion at a music show at the August event.
A source was quoted as saying: "Organisers wanted the best of British - and that's exactly what they've got. The models were all keen to take part because it will be such a memorable event.
"British style is known around the world for innovation and creativity, so it's right that it will be celebrated as part of the show - it will look amazing."
Kate, 38, Naomi, 42, and model turned Transformers actress Rosie, 25, will reportedly wear outfits by the likes of Vivienne Westwood and Alexander McQueen as London hands over the torch to Rio de Janeiro, which will be hosting the 2016 games, at the closing ceremony on Sunday August 12.