Soukupová has walked down the runways, opening and closing shows, for designers such as Chanel, Dior, Marc Jacobs, Louis Vuitton, Versace, Ralph Lauren, Anna Sui,
In September 2004, Soukupová was selected as one of only nine top models to appear on the cover of American Vogue in an issue that compared supermodels today to supermodels of the 80s and 90s heyday.