Of respondents to the unscientific Facebook poll, 348 said they were satisfied with the Government's plan while 121 were against.
A further 81 liked the post, which also indicated support for the plan.
Despite the strong support, many commented on the post expressing doubts, including over the potential use of private funding.
Jane Robinson said she supported the rebuild, but was against private funding being used.
"Yes for the rebuild, no for the private partnership funding.
"It needs to be fully government funded and stay a public health facility, not a private-for-profit situation," she said.
Elizabeth Mitchell said Dunedin Hospital was a "disgrace" and "needs action now not just talk".
Another reader called it an "election bribe".
Others were more enthusiastic, including Jeff Paterson.
"It doesn't matter who has put the idea forward or how it'll be funded.
"What matters is that it's on the table.
"Being anti the idea because you don't agree with the people who have proposed it is nothing short of infantile playground politics," he said.
While some readers bemoaned the seven to ten year timeline for the completion of the hospital, Erin Lewis said it was understandable given the size of the project.
"This is such a great announcement!
"Imagine how many jobs it will create," she said.
The reactions from readers come after Health Minister Jonathan Coleman and Prime Minister Bill English announced on Saturday a $1.2 billion to $1.4 billion plan to replace Dunedin's ageing hospital.
That price-tag would make it the most expensive hospital rebuild in New Zealand's history.
