The 33-year-old blonde, who has modelled for Victoria's Secret, Chanel and Marc Jacobs and hosted reality TV show Holland's "Next Top Model", suffered a fractured skull and vertebrae in the accident off the coast of the Italian island of Ischia and had to be airlifted to a hospital in Naples, reported People magazine.
Her father Wilfred Sturm said his daughter had a "hairline fracture in her skull" but there was "no bleeding".
Sturm, who became a mother in July, is an ambassador for the Dutch Red Cross Foundation.