New followers are also crucial to Mr. Jones’s business hawking nutritional supplements and survival gear, which help fund his Infowars operation. Without access to mainstream social-media sites, he will increasingly be speaking to his established audience that already goes directly to Infowars.com for his shows.

Infowars did not respond to a request for comment. But Mr. Jones quickly found a way to make his anger about Twitter’s decision known — on Twitter.

Broadcasting on Thursday through the Periscope account of @WarRoomShow — which is the name of an online video show hosted by an Infowars colleague — Mr. Jones said: “They’re scared of us. They’re scared of the populist movement.”

He added, “They know their bans of not just me but millions of other people have angered folks, so they’re moving aggressively.”

Periscope is Twitter’s live-streaming video app. While Twitter’s permanent ban affects the Periscope accounts for Infowars and Mr. Jones, the company temporarily suspended @WarRoomShow after Mr. Jones appeared on its broadcast. In a tweet, the company said it would take action “if other accounts are utilized in an attempt to circumvent” the ban of Mr. Jones and Infowars.

A day earlier, Mr. Dorsey had testified before Congress about election interference and allegations of political bias on Twitter. At one of two hearings on Wednesday, he denied that Twitter had a bias against conservatives, an accusation that Republican lawmakers raised repeatedly during the session.

Mr. Jones was also on Capitol Hill on Wednesday, sitting in the audience during a morning session in the Senate. At one point he confronted Senator Marco Rubio, Republican of Florida, in a Senate hallway, and at another he complained about Facebook and Google.