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Customers of 30 UK banks, building societies and credit unions can continue to use post office counters for basic banking until at least 2026.
The new deal, which covers three years from next January, is seen as key in securing the future acceptance of cash.
Individuals and small businesses can withdraw and deposit notes and coins from their accounts at 11,500 post office counters.
But one leading bank - Monzo - is not part of the deal.
Monzo has not signed up to the current agreement, having argued that its customers prefer to use its app rather than a post office.
The Post Office said £3bn a month was deposited and withdrawn over its counters.
The new agreement, known as "Banking Framework 3", has been signed after months of negotiations.
Nick Read, chief executive of the Post Office, said: "This agreement provides a continued lifeline to the millions of people and small businesses that rely on cash nationwide. While banks are cutting their branch networks, Post Offices are seeing more and more deposits and withdrawals."
Some post office branches have also been shutting, consumer campaigners have pointed out.
When the last Post Office banking agreement was signed in 2019, Barclays caused controversy by refusing to join - a decision it later reversed.
The 30 signatories to the new agreement are: Barclays, HSBC, Santander, NatWest, RBS, TSB, Halifax, Adam & Co, Allied Irish Bank, AIB, Bank of Ireland, Bank of Scotland, Cahoot, Cashplus Bank, Coutts, Co-op, Danske, First Direct, Handelsbanken, Metro, Nationwide, Smile, Starling Bank, Thinkmoney, Ulster, Virgin Money, Yorkshire Bank, Clydesdale Bank, CAF Bank and credit union Incuto.