The Publicis Groupe agency, which is already on the Barclays roster, pitched against fellow roster agencies Rapp, Profero, SapientNitro and BalloonDog to win the work.
The campaigns will be focused on digital, but could also include work on other platforms. DigitasLBi will create a strategy for the campaigns and launch them from next year.
Barclays Wealth provides private banking and wealth planning to high net-worth individuals and companies. The international banking division manages services including multi-currency accounts and offshore banking.
DigitasLBi has previously worked on other Barclays projects, including digital work for Barclaycard.
No one at Barclays or Digitas LBi would comment on the news.
OgilvyOne, which works with Barclays Wealth on digital projects, was not involved and will continue to work with the division.
Last week, Campaign reported that Barclays is conducting a review of all of its agency relationships in a process managed by Oystercatchers.