The president’s Republican allies had called for the certification – which finalises the outcome of a state’s popular vote – to be delayed for two weeks to audit ballots in a heavily Democratic county.
Donald Trump has accepted a formal US transition should begin for President-elect Joe Biden to take office.
The president said the federal agency overseeing the handover must “do what needs to be done”, even as he vowed to keep contesting his election defeat.
The General Services Administration (GSA) said it was acknowledging Mr Biden as the “apparent winner”.
It came as Mr Biden’s victory in the state of Michigan was officially certified, a major blow to Mr Trump.
The GSA announcement means the president-elect now has access to top security briefings, office space and government officials as he prepares to take office on 20 January.