The negotiations never led to a finalized deal.
Cohen's lawyer told the judge the plea deal involved co-operation with Mr Mueller's investigation of Russian interference in the USA election.
"He's a weak person".
Cohen is pleading guilty to lying to Congress about work he conducted on a Trump-releated real estate deal in Russian Federation. Sater, who served time in prison for assault and worked as an informant to USA prosecutors investigating the mob's role on Wall Street, had helped Trump on a hotel and condominium project in Manhattan. He added: "There would be nothing wrong if I did do it".
Trump later reiterated his disparagement of Cohen: "What he's trying to do - because he's a weak person and not a very smart person". "You flip and you lie and you get-the prosecutors will tell you 99 percent of the time they can get people to flip".More news: Cindy Hyde-Smith wins MS senate seat in special election
"Cohen made the false statements to. give the false impression that the Moscow Project ended before 'the Iowa caucus and.the very first primary, ' in hopes of limiting the ongoing Russian Federation investigations", the filing adds.
Trump's former lawyer had previously said talks about the Moscow project ended in January 2016 just prior to the Iowa caucuses. The search does not appear to be directly related to Mr. Mueller's investigation, but likely resulted from information he had uncovered and gave to prosecutors in NY. Cohen admitted in his plea documents Thursday that he lied to Congress by telling lawmakers he received no response; in fact a "personal assistant" from the press office responded in an email a few days later, and they went on to speak for 20 minutes by the phone.
Trump denied that Cohen is a threat to his presidency when asked by CNN's Kaitlan Collins.More news: Melania Trump uses Christmas decorations to promote 'Be Best' campaign
Until now, Cohen had been operating without a formal cooperation deal. "Sentencing is set for December 12", said Guy Petrillo, another of Cohen's lawyers.
Cohen said nothing as a gaggle of reporters shouted questions at him.
The charges were handled by Mueller's team, not the federal prosecutors in NY who handled Cohen's previous guilty plea in August to other federal charges involving his taxi businesses, bank fraud and his campaign work for Trump.
Mr Cohen testified in August that Mr Trump had directed him to commit a crime by arranging payments to silence two women who alleged before the 2016 election they had affairs with Mr Trump. Mueller's probe has yielded a mountain of evidence against Manafort, who was convicted of eight criminal charges (including bank and tax fraud) on August 22 and was facing a second trial for charges ranging from money laundering to obstruction of justice. And Trump ally Roger Stone has maintained that there is no proof that Guccifer 2.0 was a Russian agent.More news: Luke Shaw says Manchester United need thick skin with Jose Mourinho