It said Denis Donovan and Des Crowley are not offering themselves for re-election to the board but both will continue to be “core members” of the group executive.
The bank said it is engaged in an “ongoing programme of change including renewal at management and board level”.
This latest move it said is in the interests of facilitating further board renewal and a reduction in the size of the group board at the bank.
Non-executive directors Paul Haran, Dennis Holt and Heather Ann McSharry will retire from the board.
The Annual General Court of the Bank of Ireland Group takes place on June 15 at UCD.