During a speech earlier in the day, President Trump had asked his supporters to march towards the Capitol in protest. They breached the building while Congress was certifying Joe Biden's win.
Protesters made it all the way to the Senate floor and the office of House Speaker Nancy Pelosi.
Donald Trump has been suspended from Twitter and Facebook after tweeting to supporters who attacked the US Capitol.
In a social media message to protesters he said "I love you" before telling them to go home. He also repeated false claims about election fraud.
Twitter said it required the removal of three tweets for "severe violations of our Civic Integrity policy".
The company said the president's account would remain locked for good if the tweets were not removed.
It went on to say that "Future violations of the Twitter Rules... will result in permanent suspension of the @realDonaldTrump account".
It means Donald Trump's days on Twitter could be numbered. The president is not known for paying much attention to Twitter's community guidelines.
And former US President George W Bush said: "It is a sickening & heartbreaking sight. This is how election results are disputed in a banana republic - not our democratic republic."
For days Mr Trump had been piling pressure on his vice-president, who was presiding over the session, to block certification of the result. But in a letter to Congress on Wednesday, Mr Pence said he had no "unilateral authority to decide which electoral votes should be counted".
Senate Republican leader Mitch McConnell also definitively broke with Mr Trump in an emotional speech from the chamber floor, saying: "If this election were overturned by mere allegations from the losing side, our democracy would enter a death spiral."
After the session resumed, Senate Democratic leader Chuck Schumer blasted the mob at the Capitol as "rioters and insurrectionists, goons and thugs, domestic terrorists", saying the president "bears a great deal of the blame".
Senator Kelly Loeffler, who lost her bid for election in Georgia's vote on Tuesday, said she could no longer in good conscience vote against certification as she had originally planned, citing the "abhorrent" invasion of the Capitol.
[News taken from BBC]
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