Donald Trump and Stormy Daniels have engaged in an unedifying war of words after the US President referred to the adult film actress as “Horseface” in a Wednesday morning (AEST) Twitter post.

In the tweet, Mr Trump declared he would “go after” Ms Daniels and her representative Michael Avenatti – who he labelled a “3rd rate lawyer” – after her defamation lawsuit against him was dismissed by the Supreme Court.

Mr Trump claimed Ms Daniels knows nothing about him and described her as a “total con”.

“Federal Judge throws out Stormy Danials lawsuit versus Trump. Trump is entitled to full legal fees.” @FoxNews Great, now I can go after Horseface and her 3rd rate lawyer in the Great State of Texas. She will confirm the letter she signed! She knows nothing about me, a total con!

— Donald J. Trump (@realDonaldTrump) October 16, 2018

In response, Ms Daniels, whose real name is Stephanie Clifford, lashed out at Mr Trump’s vitriolic tweet, saying the President had firmly revealed his hatred of women.

“Ladies and gentlemen, may I present your president … he has demonstrated his incompetence, hatred of women and lack of self control on Twitter”, she wrote.

“Game on, Tiny,” she added in an apparent reference to Mr Trump’s manhood.

Ladies and Gentlemen, may I present your president. In addition to his…umm…shortcomings, he has demonstrated his incompetence, hatred of women and lack of self control on Twitter AGAIN! And perhaps a penchant for bestiality. Game on, Tiny. https://t.co/6DpDD5ELtj

— Stormy Daniels (@StormyDaniels) October 16, 2018

The ugly exchange comes after Ms Daniels failed to prove her reputation had been defamed by Mr Trump in a tweet in which he again accused her of being a “total con job” for claiming she was physically threatened by a stranger while she was with her child earlier this year.

Mr Trump responded on Twitter to a sketch she drew of the perpetrator who she claims had pressured her to keep quiet about an alleged sexual encounter with the President which she detailed in her recently-released tell-all memoir “Full Disclosure”.

Ms Daniels claimed she had an affair with Mr Trump in 2006 and was paid US$130,000 hush money shortly before the 2016 US election.

In response to Ms Daniels’ tweet, Mr Trump said: “A sketch years later about a nonexistent man. A total con job, playing the Fake News Media for Fools (but they know it)!”

On Tuesday, her defamation case was thrown out of the Supreme Court and she was ordered to pay off Mr Trump’s legal costs after a federal judge ruled Mr Trump’s tweet was a “hyperbolic statement” protected by free speech laws.

Ms Daniel’s lawyer, Mr Avenatti, branded Mr Trump a “disgusting misogynist and an embarrassment to the United States.”

He said he would “demonstrate to the world” that Mr Trump was a “complete shyster and liar” and reasserted that the President cheated on first lady Melania Trump.

You are a disgusting misogynist and an embarrassment to the United States. Bring everything you have, because we are going to demonstrate to the world what a complete shyster and liar you are. How many other women did you cheat on your wife with while you had a baby at home? https://t.co/npOKOEFju6

— Michael Avenatti (@MichaelAvenatti) October 16, 2018