In the 2002 Victoria's Secret Fashion Show, she wore the "Star of Victoria" Fantasy Bra, worth almost $10 million.
Other runway credits of hers include Alberta Ferretti, Alexander Mc Queen, Balenciaga, Calvin Klein, Carolina Herrera, Chanel, Christian Dior, Dolce & Gabbana, Givenchy, Gucci, Karl Lagerfeld, Louis Vuitton, Marc Jacobs, Prada, Ralph Lauren, Stella Mc Cartney, Versace, and Vera Wang.
In March 2006, Kurková received an award from the non-profit organization "Women Together" for her humanitarian work.
Kurková was honored for working for the welfare of children through organizations such as "the Beautiful Life Fund", "Free Arts", and "Global Youth Action Network".
In September 1999, Kurková appeared in the American edition of fashion and lifestyle magazine Vogue, and, after moving to New York City at the age of 17, graced the cover of the February 2001 edition.