Creature picked up the business after a pitch against Mother and Bartle Bogle Hegarty.
The pitch, which was led out of Adidas' corporate global headquarters in Germany, involves the retailer Foot Locker Europe, which has the exclusive rights to sell the trainer.
The work, which includes TV, print, digital and out of home, will launch at Easter and will appear in Foot Locker retail outlets as well as across other platforms.
Adidas continues its global relationship with the Canada-based agency Sid Lee, which picked up the global advertising business from 180 Amsterdam in July 2010.
Sid Lee works on the main Adidas Originals account and created a homage to the Star Wars cantina scene for the World Cup in 2010.