The council said it would accept clothes, clean pairs of shoes, duvet and pillow covers, sheets and curtains.
Residents are advised to put the recyclable items on top of paper inside the green bag to ensure they stay clean and dry.
It added up to three items could be accepted per collection and the Salvation Army would then sort the items for resale, donations or to be turned into rags.
Councillor Chris Leather, the council’s lead member for operational services, said: “The amount of textiles that end up in our black bags each year is absolutely staggering.
“If you find any unwanted textiles, we will ensure these are put to good use when you recycle them in your green bag.”