Local MP Alan Mak is continuing his campaign for Banking Hubs in Emsworth and Hayling Island.
He spoke in Parliament during a debate on the need for face-to-face banking in rural and coastal areas.
Mr Mak said: "The last Conservative Government legislated to protect access to cash, but I think we now all recognise the need to legislate for access to face-to-face banking."
After several years of campaigning by Mr Mak with the support of residents, a new Banking Hub in Havant is now open for business.
It means people in Havant and the surrounding area have access to a range of services from major banks including Barclays, Lloyds, Halifax and NatWest.
The new shared Banking Hub provides a counter service for deposits, withdrawals and paying utility bills.
There is also a community banker service where customers are able to speak face-to-face with their own bank about more complex matters on the day their bank is in the Hub.
Mr Mak is proposing a new law to expand Britain’s network of Banking Hubs so that customers have more access to face-to-face banking services.
His In-Person Banking Services Bill would help areas such as Emsworth and Hayling Island, where there are no physical bank branches left, to get their own Banking Hubs.
Under current rules, communities are often deemed to have sufficient banking provision if there is access to cash, for example if there’s a Post Office or cash machine within one kilometre of the local high street.
His aim is to ensure every town or village with a population over 10,000 is eligible for face-to-face banking services via a Banking Hub.
Mr Mak said: "Access to in-person banking services and cash is vital for people who find online banking or digital technology daunting.
"That's why I'm proposing a new law that would enable Emsworth, Hayling Island and communities across the country to have their own Banking Hubs."