Cohen, his voice shaky as he answered questions from a federal judge, said one payment was "in coordination and at the direction of a candidate for federal office," and the other was made "under direction of the same candidate."

However, in the charging documents, a news release and comments outside the courthouse, prosecutors did not go as far as Cohen did in open court in pointing the finger at the president. Prosecutors said Cohen acted "in coordination with a candidate or campaign for federal office for purposes of influencing the election."

As cable networks were showing split-screen coverage of the conviction and plea bargain by two of his former loyalists, Trump himself boarded Air Force One on his way to a rally in West Virginia and ignored shouted questions about the men.

Trump's personal lawyer, Rudy Giuliani, noted in a statement that "there is no allegation of any wrongdoing against the president in the government's charges against Mr. Cohen."

Daniel Petalas, a former prosecutor in the Justice Department's public integrity section, said, "This brings President Trump closer into the criminal conduct."

"The president has certain protections while a sitting president, but if it were true, and he was aware and tried to influence an election, that could be a federal felony offense," Petalas said.

"This strikes close to home."After the court hearing, which ended with Cohen released on $500,000 bail, the lawyer wiped away tears as he gazed out a courthouse window.

He left the building and headed straight for a black SUV with tinted windows. A couple of people outside chanted, "Lock him up!" as they recorded the scene with their phones.

Under federal law, expenditures to protect a candidate's political fortunes can be construed to be campaign contributions, subject to federal laws that bar donations from corporations and set limits on how much can be given.

"If those payments were a crime for Michael Cohen, then why wouldn't they be a crime for Donald Trump?" Cohen's lawyer, Lanny Davis, tweeted.

Cohen's plea follows months of scrutiny from federal investigations and a falling-out with the president, for whom Cohen once said he would "take a bullet."

The FBI raided Cohen's hotel room, home and office in April and seized more than 4 million items. The search sought bank records, communications with Trump's campaign and information on the payments to the two women.

According to prosecutors, the payment to McDougal was made through the parent company of the National Enquirer. Cohen made the payment to Daniels through his own company and then was reimbursed by Trump, he said.