Officials have launched a consultation over whether orders restricting alcohol consumption should be renewed in King's Lynn, Downham Market and Hunstanton.
Most areas of the three towns are covered by so-called PSPOs (public spaces protection orders), which are due to expire next month.
While they do not ban drinking in public places, they give police powers to order people to stop drinking or hand over their drink if there has or is likely to be alcohol-related disorder.
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Mark Whitmore, West Norfolk Council's assistant director for health, wellbeing and public protection, said: "These orders are due to expire at the end of September and, before they can be renewed, we must consult with the public and key stakeholders.
"I recommend that residents look at the existing orders and let us know whether they think the orders should be renewed or allowed to expire."
A public consultation has opened online and is due to continue until August 31.
If renewed, the powers would be effective for three years from October 1.
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