Anthony Baxter's film about the tycoon's controversial golf development on the Menie Estate north of Aberdeen, was watched by more than one million people across the UK on BBC2.
Mr Trump's lawyers had contacted the BBC beforehand to say he believed it was "highly defamatory" , one-sided and containing "numerous and significant factual inaccuracies."
They believed the programmed breached the BBC's editorial guidelines and urged them not to show it or postpone it so they could be given an "appropriate" right of reply.
Sarah Malone, executive vice president, Trump International Golf Links, said "We are appalled at the BBC's decision to broadcast the biased and manipulative so-called documentary.
"We totally denounce the BBC for further abandoning its own editorial integrity by blatantly refusing us a right of reply at the end of the broadcast last night.
"It is not a documentary - it is a piece of propaganda that is wildly inaccurate, defamatory and deliberately misleading."
A BBC spokesman said "Donald Trump chose not to participate but the film-maker took care to reflect his views on a number of occasions in the film."