The Democratic leaders have demanded Trump to step up and end the violence at capitol hill.
Trump, who at first urged the demonstrators to march on the Capitol, later called on them to "go home", reports BBC.
A joint session of Congress confirming Biden's election win has resumed after it was suspended by the mayhem.
US Vice-President Mike Pence started the session on Wednesday evening, saying it had been a "dark day in the history of the United States Capitol".
Earlier, the protesters fought their way past police into the complex, shouting and waving Trump and US flags as they roamed the halls, demanding the results of the presidential election be overturned.
A female civilian who was shot inside the US Capitol during the chaos has died, a spokesperson for the Metropolitan Police Department said.
Federal law enforcement official said two suspected explosive devices were found and were both rendered safe by the FBI and Capitol Hill police.
The rampage came as two Democrats won Senate seats in elections in Georgia, which shifted the balance of Congress to their party's effective political control, aiding the passage of Mr Biden's agenda after he is inaugurated on 20 January.