Retailers including Waterstones, TG Jones, and The Works, say they will no longer sell Walliams’ books, and his publisher HarperCollins cut ties with him in September.
Public libraries have also faced calls to remove his books.
Librarians’ body CILIP said it “recognises that dealing with challenges made to books or other resources can be an extremely complex and stressful situation for library staff”.
Decisions about stocking books are made by local councils.
Among them, Kent County Council said it had no plans to remove Walliams’ titles from its libraries.
“The starting point is that books should be available to readers unless their content is unlawful,” a spokesperson said.
“Decisions about library stock are not made through blanket bans on individual authors. Collections are regularly reviewed and refreshed to reflect factors such as reader demand, condition and relevance of stock.”
Surrey County Council said that demand for Walliams’ books had “fallen significantly in recent years”, but his titles are “not illegal” and “remain available for readers to borrow”.
Camden Council in north London said it was putting Walliams’ books in storage.
A spokesperson told the Camden New Journal: “We are committed to making Camden a safer place for women and girls, to challenging harmful attitudes, and promoting healthy relationships.
“Following these allegations, we believe the most appropriate action is to remove these books from display.”
On Tuesday, ITV News and the Guardian published reports alleging that Walliams has been accused of sexual misconduct by several women, including some who accused him of “grooming” them when they were teenagers.
In a letter to journalists published by the paper, Walliams said he was “not a sexual predator” and had not “broken the law”.