Vizeum won the brief after a pitch against Naked Communications, Universal McCann and Starcom.
The Aegis-owned agency retains planning and press buying duties on the business, and adds the £20 million TV buying element of the account, which was previously handled by Universal McCann.
ZenithOptimedia, which was originally included in the review process, pulled out due to conflict.
The soft-drinks giant called a review of the business in July, following a similar process in other markets. Its UK advertising account, which is shared between Mother, VCCP and Lowe, is unaffected.
Cathryn Sleight, the marketing director of Coca-Cola Great Britain, said: "Vizeum demonstrated world-class, insightful connection strategies between brands and consumers."