The loss of the branch will rip out the heart of the small village community, which serves the communities of Hollywater, Standford, Conford and Bramshott.
Hopes were raised it might be kept open during public consultations before Christmas after a campaign was organised and backed by hundreds of residents.
However, villagers were devastated to learn today that Post Office leaders had not changed their minds, leading to claims the public consultation was a sham.
Keep Passfield Post Office Action Group's leader, Richard Hardman, said: "In common with the rest of the community, we are deeply disappointed at the decision of the Post Office to close Passfield.
"We have yet to establish whether the responsibility for this decision rests ultimately with the Post Office itself or with the Government.
"We suspect the latter.
"Either way, having spent hundreds of hours carefully researching the issues which were stated in the earlier closure letter in order to demonstrate clearly why they did not apply to Passfield, having obtained the views of the whole community affected by the closure proposal and making clear their united objection to the proposal, we find the decision represents nothing more than a total failure on the part of an institutionally incompetent Government to be prepared to listen to its citizens."
Mr Hardman said John Wood, the postmaster, was as devastated as the rest of the campaigners by the decision, but by reason of the terms of his contract with the Post Office, he was forbidden to make any comment which might be thought to harm the reputation of that organisation.
Mr Hardman had strong words to say about consumer group Postwatch, the watchdog which looks after Post Office customers.
He said: "Within the so-called consultation process, we were told that the interests of the consumer would be protected by Postwatch.
"Our sense of anger and betrayal at the iniquity of the closure decision is matched only by our sense of incredulity at the toothlessness and general uselessness of Postwatch in representing us or in seeking to protect our interests.
"We comfort ourselves by knowing that the community and its elected representatives have done all in their power to try and avoid this closure and we await with interest the fate of others under this farcical procedure both locally and throughout the country as a whole."
Elsewhere, the Post Office is Durford Road in Petersfield will close, while branches in West Meon, East Meon and East Tisted have been granted a six-week stay of execution as the Post Office Network works out how to replace them with an outreach service.