The move, which will affect many terraced homes in wards across the city, is set to be rolled out as part of City of York Council changes to waste services.
Currently, 8,000 homes in York use bin bags when they put out their non-recyclable rubbish.
But the council's "bags to bins" scheme is set to change that for the majority of those households - around 5,500.
Switching from bin bags to wheelie bins will bring "many benefits", according to the council.
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