More than 40 retailers, including wine merchant World of Wines and convenience retailer Budgens, have agreed to stop giving out plastic carrier bags to customers from May 3.
The initiative is expected to reduce the number of bags given out by 10,000 per week.
Tony Jackson, chairman of the group said: “We were inspired by the example Modbury in Devon set nearly a year ago and wanted to show that people in Henfield also cared about the environment.
“Ridding the country of plastic bags is an issue where local action can really make a difference. Already we are seeing more and more residents are bringing their own bags and refusing to take a plastic bag.”
Free reusable cotton bags have been issued to residents to use in place of plastic.