An independent director on the BBC's board, Shumeet Banerji, has quit in the wake of what the UK public broadcaster says was an incorrect edit of a speech by US President Donald Trump and which has prompted the threat of a $US5 billion lawsuit.

Banerji, who also serves on the board of Indian conglomerate Reliance Industries and is a former chief executive of management consultancy Booz & Company, resigned a few weeks before his four-year term was due to end, the BBC said.

The broadcaster's news arm reported that Banerji had said in a resignation letter that he was upset about governance issues at the top of the corporation.

In the letter, Banerji said he had not been consulted about events leading up to the resignations of the BBC's director general, Tim Davie, and the chief executive o

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