The fashion designer will create a clothing and footwear for the American sportswear brand.
Katrantzou told Vogue.com: "I'm really excited to be working with adidas on a line of apparel and footwear.
"I grew up, like so many other kids around the world, wearing adidas sneakers and I'm really excited about bringing my vision to such a global brand. They have a fantastic heritage and their ability to innovate in sportswear makes them the perfect partner for us to work with in this market."
The Greek-born, London based designer follows in the footsteps of Pharrell Williams, Stella McCartney and Raf Simons in designing a range for Adidas.