It was a change in position for Biden, who said last month that he hoped Trump would be present at his inauguration to symbolise the peaceful transfer of power.
Asked why he had changed his mind, Biden said: “Because he’s exceeded even my worst notions about him … He’s been an embarrassment to the country.”
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Biden did not say whether he is supporting the accelerating push by House Democrats to impeach Trump for a second time.
Several House Democrats are expected to introduce articles of impeachment on Tuesday (AEDT).
In a letter to colleagues on Saturday (AEDT) Speaker Nancy Pelosi said that if Trump is not removed by his cabinet, the House will “proceed with our action”.
She said there was more support in the Democratic caucus to impeach him now than there was when Trump was impeached in December 2019 over his dealings with Ukraine.
In her letter Pelosi also said she had spoken to the chairman of the Joint Chiefs of Staff about preventing an “unhinged” Trump from ordering military actions, including a possible nuclear strike, in his final days at the White House.
Pelosi said she had called General Mark Milley “to discuss available precautions for preventing an unstable president from initiating military hostilities or accessing the launch codes” for nuclear war.
Kevin McCarthy, the Republican House leader, said that he did not support impeaching Trump.