"We didn't suspend Alex Jones or Infowars yesterday," Dorsey said in a Twitter post Tuesday. "We know that's hard for many but the reason is simple: he hasn't violated our rules. We'll enforce if he does. And we'll continue to promote a healthy conversational environment by ensuring tweets aren't artificially amplified."
Dorsey's comments echoed an official statement from the company released earlier this week, after the controversial conspiracy theorist and radio host took to Twitter's livestreaming service Periscope to rail against censorship.
Jones had been hit with multiple warnings from online platforms ahead of the events that occurred Monday. He infamously called the 2012 Sandy Hook school shooting a hoax and recently appeared to threaten U.S. Special Counsel Robert Mueller with violence.
He has also been the subject of much criticism over the perpetuation of fake news. However, none of the companies that have taken Jones' content offline have thus far cited fake news as the reason for removal; most are instead highlighting breaches of policies on hate speech and harmful content.