The appointment follows a pitch that is understood to have included JWT, Leo Burnett, Havas, Maxus Global Media, FidelisWorld and Hayleys.
Phoenix Ogilvy will work with the ICC to develop and implement a global promotion plan for the event, which is now in its fourth year. The agency handled the account for the ICC World Cup 2011 with support from India and Bangladesh.
Irvin Weerackody, chairman of Phoenix Ogilvy, said the ensuing work would not just aim to promote the event, but attract visitors to Sri Lanka as a travel destination.
The tournament will be held from 18 September until 7 October.
