Jones, known for his animated style, has been criticized in the media for discussing controversial, sometimes unverified, claims on his show.
Apple didn't respond to a request for a comment but issued a statement to BuzzFeed. After an unspecified number of violations, an account could be suspended and a page could be unpublished, which is what happened to Mr. Jones' and some of his pages.
Among the conspiracy theories Jones has peddled are charges that the USA government was behind numerous terrorist attacks, including the September 11, 2001 strikes on the World Trade Center and the Pentagon.
The InfoWars founder is infamous for peddling far-right conspiracy theories, including his promotion of the Sandy Hook Elementary School shooting as being a false flag attack perpetrated by the government.
It's unclear why the companies are cracking down on Jones now, after allowing him to publish for years.
Facebook said after it blocked those Jones pages, it received more content from the same Pages that was taken down for glorifying violence.
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Most of USA conspiracy theorist Alex Jones's podcasts from his right-wing media platform Infowars have been removed from Apple's iTunes and podcast apps, the media news website BuzzFeed quoted a company spokesman as saying on Sunday. The shows were removed from iTunes because of its hate speech guidelines, Apple told the news outlet in a statement.
Jones has also repeatedly used inflammatory language against transgender people and Muslims, one of the reasons Facebook said forced the company to remove his content. Entering the web addresses for specific shows brought up a notice that the content is not available.
Separately, Facebook said it had removed four pages operated by Jones and Infowars after receiving new complaints about their content. As of Monday, the InfoWars YouTube channel - which has over 2.4 million subscribers - remained online.
Jones said his channel's removal was imminent. It's unclear how the latest bans have affected his reach. The policy warns that repeat offenders will be removed from the platform. Families of Sandy Hook victims have filed lawsuits against Jones for defamation.
"We believe in giving people a voice, but we also want everyone using Facebook to feel safe", according to the company's statement.
Media Research Center President Brent Bozell agrees that censorship is not the answer.
"(It's) a unsafe cliff that these social media companies are jumping off to satisfy CNN and other liberal outlets", Bozell said in a statement.