President Trump Donald John TrumpFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Former Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick MORE in an early morning tweet on Sunday said "Radical left Democrats" and the "LameStream Media" want to scare Supreme Court Justice Brett Kavanaugh Brett Michael KavanaughTrump plans to pick Amy Coney Barrett to replace Ginsburg on court Collins trails challenger by 4 points in Maine Senate race: poll SCOTUS confirmation in the last month of a close election? Ugly MORE into "turning Liberal."

"Now the Radical Left Democrats and their Partner, the LameStream Media, are after Brett Kavanaugh again, talking loudly of their favorite word, impeachment," he tweeted. "He is an innocent man who has been treated HORRIBLY. Such lies about him."

"They want to scare him into turning Liberal!" he continued.

Now the Radical Left Democrats and their Partner, the LameStream Media, are after Brett Kavanaugh again, talking loudly of their favorite word, impeachment. He is an innocent man who has been treated HORRIBLY. Such lies about him. They want to scare him into turning Liberal! — Donald J. Trump (@realDonaldTrump) September 15, 2019

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The president's tweet came after The New York Times reported that a male former classmate said he witnessed Kavanaugh expose himself at a party, where friends pushed his genitals against a woman without her consent.

The latest allegation, which had not been made public, was reported to the FBI during Kavanaugh's Supreme Court confirmation process last year but was not investigated by the FBI, according to the Times.

The justice was confirmed after a tumultuous confirmation process that included emotional testimony from both Kavanaugh and Christine Blasey Ford, who accused him of sexual misconduct.

Kavanaugh has denied all of the allegations he has faced, calling them politically motivated, and he declined to answer questions about the new allegations to the Times on Saturday.

Trump in a follow-up tweet early Sunday said Kavanaugh should "start suing people for libel," suggesting that the Justice Department should "come to his rescue."

"The lies being told about him are unbelievable. False Accusations without recrimination. When does it stop?" he asked. "They are trying to influence his opinions. Can’t let that happen!"

Brett Kavanaugh should start suing people for libel, or the Justice Department should come to his rescue. The lies being told about him are unbelievable. False Accusations without recrimination. When does it stop? They are trying to influence his opinions. Can’t let that happen! — Donald J. Trump (@realDonaldTrump) September 15, 2019

Democratic presidential candidate Julián Castro said late Saturday that the newly reported allegation against Kavanaugh should be investigated.

"Brett Kavanaugh’s confirmation is a shame to the Supreme Court. This latest allegation of assault must be investigated," the former Housing secretary tweeted.

This report was updated at 9:55 a.m.