Newcastle Building Society will run a pilot scheme designed to tackle a lack of bank branches in some communities.
The mutual will launch special terminals at its Gosforth High Street branch and new Knaresborough branch at which customers of any bank can access services, in a move it says is the first of its kind in the UK.
Services will be provided by OneBanks Hub and will serve personal and business customers of all major banks - allowing them to withdraw cash, deposit coins and notes, move funds and pay bills.