Sir Keir and his US counterpart shared warm words as they spoke ahead of a press conference in which they are expected to reveal details of their discussions on the Ukraine war and trade.
Mr Trump called Sir Keir a "special man" and a "great gentleman" as he said he would be visiting the UK in the "near future".
Donald Trump has been invited by King Charles for a "historic" state visit to the UK, Sir Keir Starmer said.
The prime minister presented the US president with a copy of the invitation while the pair met in the Oval Office.
This breaking news story is being updated and more details will be published shortly.
