The US House of Representatives voted to censure and pull Gosar's committee seats, the most severe punishment possible, after he shared a video depicting him killing his colleague.
The news conference was held in the Capitol Visitor Center.
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Gosar will lose his seats on the House Oversight and Reform and Natural Resources committees as a result of the vote.
Gosar said before the vote that Democrats had made a mistake in saying he was dangerous or threatening, and that he took the video down out of compassion for those offended.
When lawmakers share depictions of violence against each other, it trickles down into violence, and contributes to a larger trend of rising racism and misogynistic in the U.S., according to Alexandria Ocasio-Cortez.
Gosar is the first House member to be censured in a decade, since Rangel was found guilty of tax evasion and misuse of his office.
The video was altered to make it look like Gosar had been edited to look like President Joe Biden and Alexandria Ocasio-Cortez. Speaker of the House Nancy Pelosi likened the video to a threat of violence and called it a "horrific video". Kevin McCarthy told CNN that he called Gosar after he saw the Tweet and that he did not condemn Gosar or the video. Gosar said he did not harm or violence toward Congress or Biden.
Paul Gosar's video was treated like a Trump post.