Before being banned, Jones's Twitter page had accumulated almost 900,000 followers, while the Infowars page had accrued around 430,000.
Jones was suspended earlier this year from YouTube, Facebook and other social media platforms. Dorsey testified at both hearings, but did not appear to witness the confrontation.
Jones had travelled to Washington D.C. Wednesday for congressional hearings at which Twitter CEO Jack Dorsey and Facebook COO Sheryl Sandberg testified.
Jones, who is the controversial InfoWars founder, repeatedly interrupted Rubio while he was attempting to answer questions from reporters during a recess in the Senate Intelligence Committee's hearing on foreign use of social media to influence United States politics.
Amazon joins $1 trillion club, on pace to overtake Apple
Amazon touched a market value of $1 trillion Tuesday, becoming just the second publicly traded company to reach the milestone. But of that massive revenue, retail is slowly beginning to take a back seat to other higher-margin services.
In August, Twitter said Jones had violated its rules at least seven times, but it stopped short of banning him outright from the platform.
Jones, whose false theories include saying that the 2012 Sandy Hook school massacre was a hoax, was on Capitol Hill to watch an intelligence panel hearing on social media and politics.
He later posted videos showing himself verbally confronting a CNN reporter as well as Republican Senator Marco Rubio in a hallway. After Jones tapped Rubio on the shoulder, the senator warned, "Hey, don't touch me again, man".
The ban comes after Jones went after CNN reporter Oliver Darcy, accusing him of leading the way in trying to get companies to ban Infowars from using their platforms.
Darcy claimed that none of those statements by Jones were true.
Sane omission shows no player safe at Man City, says Jesus
The last passes [were] not good or not clever, but we didn't concede in the second half. City have scored 16 goals in the last five matches between these two teams.
Twitter's first punishment was minor compared to the repercussions that Jones and InfoWars faced from other tech companies just days before.
At one point, he said Darcy was "smiling like a possum that crawled out of the rear end of a dead cow". You look like a possum that got caught doing some really nasty stuff - in my view.
But a week later Twitter joined the other tech companies in muzzling Jones, even if it was only for a week.
Rubio turned to him and said, "Hey, don't touch me again - I'm asking you not to touch me".
Jones is now active on Facebook; his personal suspension there recently expired.
Nadal advances after near five-hour epic against Thiem
The tired combatants held serve throughout the fifth - including one triple break point for Nadal - into another tiebreak. I told him I was sorry and that he is good, he is a fighter.