The pair modelled clothes for the designer's spring/summer show on Wednesday.
It is reportedly the first time supermodel Kate, 47, and Lila, 18, have appeared on the same catwalk.
Lila, whose father is Kate's ex-partner Jefferson Hack, was on the cover of Vogue with her mother in 2016.
A string of other high profile supermodels also featured in the show.
Supermodel Naomi Campbell also made an appearance on the catwalk in a long metallic dress and headpiece.