In the coming months councils will be invited to submit innovative bids for funding.
Ministers believe more frequent collections are likely to discourage fly-tipping and littering as well as reducing problems with vermin and pests.
Mr Pickles said:
"Weekly rubbish collections are the most visible of all front-line services and I believe every household in England has a basic right to have their rubbish collected every week.
"Our fund will help councils deliver weekly collections and in the process make it easier for families to go green and improve the local environment."
Caroline Spelman, Secretary of State for Environment, Food and Rural Affairs, added:
"Hard-pressed families across the country pay their council taxes and local authorities should be looking to deliver the kinds of frontline services that they want. This new fund will help councils whose residents want their rubbish collected more frequently to reinstate weekly bin rounds for smelly waste, while also seeking new and innovative ways to increase recycling and look after the environment."
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