He is leaving the business to pursue other commercial ventures.
Bleakley has been with CBS Outdoor since 2004.
He has been responsible for building CBS Outdoor's digital network since the win of the London Underground contract in 2006 and also sits on the OAA board.
Colin Leahy, currently managing director of CBS Outdoor Ireland, will become general manager sales and marketing.
Leahy will work alongside Helena Kavanagh, commercial director London Underground, and Jason Cotterrell, commercial director Bus & Rail, who will both continue in their current roles.
Antonio Alonso, CEO International, will take over the day-to-day running of the UK business while an ongoing search is conducted for a permanent UK managing director.