The brand aims to increase awareness and brand advocacy as a Euro 2016 sponsor, using the tagline 'Getting teams to the game safely'. The strap relates to all team buses in France being fitted with tyres from Continental.
The creative will focus on grassroots football teams that interact with fans of all ages.
Mark Hawkins, chief executive of The Moment, said his agency had won the pitch against "several big agencies".
He added: "We are thrilled to have been appointed as the creative agency to lead Continental Tyres Euro 2016 sponsorship campaign. The tournament will be one of the most watched events ever, which we will use to elevate Continental Tyres' presence in the market."
Peter Robb, marketing communications manager at Continental Tyres, said: "With 2016 set to be an incredibly busy year for Continental, we are really excited to kick-off this campaign for UEFA Euro 2016. With England, Wales, Northern Ireland and Republic of Ireland all qualified, this gives our brand a great opportunity for potential activation and engagement towards Continental Tyres getting you to the game safely."
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