The centre is looking for new ways to use the resource. For the first six months of next year will try shredding it and processing it into fuel for diesel engines.
Another possibility is supplying it to Hawk Packaging in Hawke's Bay for use in fruit packaging.
Paper and cardboard will continue to be accepted for recycling at the centre "for the foreseeable future", councillors were told at Tuesday's meeting.
Council waste adviser Stuart Hylton said paper and cardboard have been a "bastion" product for the centre.
Hylton and Vinsen said not taking them would severely dent people's confidence about recycling.
However, the centre will stop taking plastics number 3, 4, 6 and 7 from January 1. These are about 6 per cent of all the plastic taken to the centre, Vinsen said. Other cities have also stopped accepting them, and some manufacturers are moving their packaging to recyclable 1, 2 and 5 plastics.