Deputy Mayor Cynthia Bowers said it was "extraordinary" that the two councillors were opposing the move given the council had agreed to be bound by the result of the referendum.
A staff report prepared for the meeting said since the referendum, people opposed to fluoridation had asked the council if it could provide a public source of unfluoridated water.
Council staff had carried out "some preliminary work" and identified that there were two sites in Hastings and one in Havelock North where this could be "practically achieved".
"There will be some financial and technical implications were the council to proceed down this path," the report said.
Further work on the cost and technical issues would be done in time for the matter to be considered by councillors during next year's annual plan budgeting process.
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