Rapid Charging Devon, the organisation which is managing the project, said private company Gamma Energy would be meeting all of the costs of the withdrawal of the machines and their replacement with different models.
In response to questions from the BBC, Rapid Charging Devon issued a statement which said some of the rapid chargers were "not working as consistently as we would like".
It said rather than continuing "with an intermittent service, we have decided to replace all the chargers with a different model".
The statement went on to say: "As with any new technology there can be teething problems and the replacement costs are being met by the private company involved.
"Whilst this will cause some inconvenience in the short term, ultimately Exeter residents will get reliable EV charging on their doorsteps thereby helping our city transition to a net zero future."
At the time Stuart Hughes, cabinet member for highway management, said: "This initiative is hugely exciting and puts Exeter on the map with the UK's most sustainable cities."
Regarding the news of the removal of the charge points, Mr Hughes said he still believed Exeter was leading the way.
A spokesperson for the Department for Transport declined to comment on the situation in Exeter, but said it was investing £1.6bn in charge point networks across the UK.
The eight charging points in Exeter each consisted of two rapid charging machines. It is not clear how many of the charge point installations were completed.
"There is no cost to the replacement of the units to ZPN, nor do ZPN have any responsibility for their operation."