He tweeted Tuesday: "He hasn't violated our rules".
After a CNN inquiry found ten tweets from Alex Jones' accounts that it felt should've qualified as breaking Twitter's rules, the service admitted late Friday that it agreed on seven of them. All of the tweets in question have been deleted.
Jones said on his program Friday that he had instructed his staff to do so and "take the super high road", though he contested whether the tweets violated any Twitter rules.
The remarks follow less than a day after a Twitter executive told CNN that such messages violating the company's policies had not occurred, arguing that "we would have taken action" to delete them.
But CNN found that the same videos that led to Infowars' banishment from other social media sites also were present on Twitter.
Twitter is one of the only major social media companies that has not scrubbed its platform of Jones or InfoWars in the last week. Twitter would have required those tweets to be deleted, if they were to have remained up. Some recent tweets did violate current rules.
Content that appears to violate Twitter's rules appears over and over again in the hundreds of hours of video available on the accounts that Jones and InfoWars maintain on Twitter and Periscope, a livestreaming video service that Twitter owns. After his reporting calling out numerous tweets from Jones, the tweets were all taken down (Twitter denied anyone from the company did so). Jones has repeatedly degraded individuals of the Muslim faith.
After CNN's report, those 20 tweets were removed.
Jones has frequently used his site to spread horrifyingly disgusting conspiracy theories, including his belief that the Sandy Hook school shooting (in which dozens of 5- and 6-year-olds and their teachers were killed by a mass shooter) was a hoax, and that victims and their families were so-called "crisis actors".
The responsibility ultimately rests with Twitter.
Other technology giants, including Apple, Spotify, YouTube and Facebook had removed profiles, pages and accounts linked to Jones and Infowars, each citing their individual rules around not tolerating hate speech as the reasoning behind their decision.