"While we have received messages of support over the past two weeks, we have also heard messages of concern from staff, elected officials and members of the community," Kelly said.
"We have factored that into our risk-based approach so that if the risk changes, our settings will also change."
Vaccine passes would not be required for the local library, council civic centre or the H2O Xtream Aquatic Centre.
The exception was the council's art exhibition facility Whirinaki Whare Taonga.
The council would monitor Covid-19 daily cases for the region and if there was community transmission, vaccine passes would be required to enter council facilities, he said.
Accessibility and equity considerations, as well as high vaccine rates across the city, contributed to the decision.
Hutt City Council and Wellington City Council require visitors to council facilities to produce a vaccine pass.