It's the latest in Trump's stark criticism of the online retailer and its CEO Jeff Bezos.
Blocking a neo-Nazi site and its content has left some tech giants open to charges of censorship.
It started with a dispute about police access to cellphone data without warrants.
Tech peers Airbnb and GoDaddy have upped the ante with user guidelines and safety policies.
The move came after Merck CEO Kenneth Frazier quit the council earlier on Monday.