"We look forward to working with the other trade associations and to providing a world class service for our members across the banking sector."
94% of its voting membership found in favour of the proposal. In April, 75% of CML members voted in favour.
The proposed consolidation was initially set out by The Financial Services Trade Associations Review as part of an independent review into the effectiveness and efficiency of the financial services trade association landscape.
Plans for the new trade association will now be taken forward by the Interim Main Board of the new trade association.
Anthony Browne, BBA CEO, said: “It is right that our members get effective representation and value for money from their trade associations. The BBA membership has voted 94 per cent in favour of consolidating the BBA as part of a new Financial Services Trade Association.
“We look forward to working with the other trade associations and to providing a world class service for our members across the banking sector.”