The agency won the business after a four-way pitch managed by Oystercatchers. The account moves from Home, which had worked on the business since 2011.
The review follows the decision to rebrand the company from Victor Chandler to BetVictor across its European operations in January.
Home was responsible for using the TV presenter Paddy McGuinness in BetVictor's advertising. The most recent campaign, which launched in January, centred around McGuinness' insistence that the brand needed a "gimmick" while the chairman, Chandler, reeled off a list of prices and offers that beat those of its competitors.
BetVictor offers an online casino experience as well as sports betting. The company was founded in 1946 by the father of the current chairman, who was also called Victor Chandler.