The soft drinks giant, a long-standing sponsor of football, has 504 prizes of four tickets on offer for the tournament in France, which can be won via on-pack promotions.
Coca-Cola’s ticket giveaway will be supported by marketing activity including a television campaign.
The visual imagery in the marketing push will be in line with Coke’s Taste the Feeling campaign.
The campaign launched in January and introduced the new Taste the Feeling strapline, which replaced the seven-year old Open Happiness tagline.
Coca-Cola Great Britain marketing director Bobby Brittain said: "As an official sponsor of UEFA Euro 2016 we want our sponsorship to celebrate the fans and bring them closer to the action.
"We know that the simple act of drinking a Coca-Cola, any Coca-Cola, can make everyday moments more special and we want to extend that to the tournament to make the experience for fans – whether watching in the stadium or at home – an unforgettable experience."
The ‘Win Tickets’ on-pack promotion will run across packs of Coca-Cola, Coca-Cola Zero and Diet Coke across the various different size of bottles and can multipacks.