A mini-referendum is being held in North Yorkshire to select a name for the new hospital in Selby.
The hospital was due to be called Selby Community Hospital but some residents objected to losing "War Memorial" which the former hospital had in its title.
The new facility on Doncaster Road includes a hospital and civic centre for district council staff to use.
People are able to vote for Selby Community Hospital or the New Selby War Memorial Hospital in the referendum.
Votes can be cast on the NHS North Yorkshire and York website until 14 April.
Alan Rose, chairman of York Teaching Hospital, said: "I think the primary care trust who've been responsible for services there were anxious to think this is a new start.
"There's an excellent new facility, a new physical building, and it was thought that it was the right thing to do in setting a new tone. Selby Community Hospital is what we're all about."
The 24-bed hospital will be built next to the site of the existing Selby War Memorial Hospital which will be demolished to make way for a car park.
The new facility is due to open in June.