Mr Freud has a contacts book filled with celebrities, and guests at his previous parties have included Kate Moss, Idris Elba, Naomi Campbell, Tilda Swinton and Bob Geldof.
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However the party that had been scheduled for tonight was described as a get-together for senior staff of Freud Communications and their friends.
Mr Freud has so far made no comment about the revelation that his father abused girls over a period spanning at least four decades.
His mother, Lady Freud, has apologised to Sir Clement's victims, saying she is "shocked, deeply saddened and profoundly sorry" for what he did to them.
Mr Freud's parties at his £20 million home in Primrose Hill, north London, often draw together clients and friends from the world of fashion, music, television and film.
Pop superstars including Noel Gallagher, Muse front man Matt Bellamy, TV presenters such as Dermot O'Leary and the actress Liv Tyler have all been party guests at his home, but no famous faces were expected at tonight's event, according to insiders.
This morning Andrew McGuinness, chief executive of Freud Communications, emailed guests to say: "With everything that's going on we think it's best to postpone this evening."
Sources have told The Telegraph that Mr Freud has already been shown the ITV documentary, which features interviews with two victims who were abused between 1948 and the late 1970s.
Sir Clement Freud, who died in 2009, had been "on the radar" of child abuse charities even before his death.