The Irish Postmasters' Union claims up to 400 post offices are in danger of closing in 18 months' time.
According to research by Red C, 86 per cent of people favour the government providing financial support to keep their branch open.
It's after more than 160 post offices closed last year.
Ned O'Hara, from the IPU, says the entire network will soon be in jeopardy unless the new government gives it more support.