The South Korean beauty, who modelled for design houses including Chanel and Alexander McQueen, was found by police, who have not yet released the official cause of death.
The statuesque runway star graced the covers of numerous fashion publications including Vogue, I-D and Harper's Bazaar, and recently teamed up with New York Magazine to shoot backstage footage at the city's fashion week.
Her family has been notified and are making their way to Paris, France from South Korea.
A statement from Kim's modelling agency reads, "She was a top model and a great friend to all of us at Next. Please respect her family's privacy at this time of sadness. We will all miss her very much."