Twitter has come under fire for keeping controversial talk-show host Alex Jones and InfoWars accounts on its platform because they do not violate its policy.

Its refusal comes as a campaign under the hashtag #banalexjonesnow gathers steam on its own website.

High profile names including former Reddit boss Ellen K. Pao have put pressure on founder Jack Dorsey to remove Jones's blue tick and “be a leader with integrity like Tim Cook”. The Apple boss removed Jones from iTunes over the weekend.

Twitter said that Jones and his associated accounts were not currently in violation of its rules but that it would be reviewing his account.

The nature of Twitter, it claims, is largely self-policing when it comes to fake news because a number of accounts reply to InfoWars' tweets with counter-narrative.