In a tweet Thursday morning, Trump, who has been putting together his own team of outside lawyers to represent him, called the Post's report Wednesday that he is being investigated for collusion "phony".
Some of his ire is aimed at Rosenstein and investigative special counsel Robert Mueller, both of whom the president believes are biased against him, associates say. The tweet was not confirmation that the president or his attorney has been informed by the Department of Justice or Mueller that Trump is the subject of an investigation. "Witch Hunt", he wrote.
Earlier today, Trump spoke in Miami to announce the rollback of President Obama's relaxed trade and travel policies toward Cuba.
Special counsel Robert Mueller and several congressional panels are investigating the Russian Federation issue, which has cast a shadow over the early months of Trump's presidency.
On Thursday night, he issued a statement lashing out at news stories sourced to anonymous officials and that he believes are causing the President and Republicans to attack the Justice Department, the Federal Bureau of Investigation and Mueller for alleged leaks.
But it was released shortly after The Washington Post reported - citing unnamed United States officials familiar with the matter - that the business dealings of President Donald Trump's son-in-law, Jared Kushner, are being investigated by Justice Department special counsel Robert Mueller, who has been investigating Russian meddling in the 2016 election and the Trump administration's potential ties to Russia.
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However, Trump was open about his intentions to fire Comey regardless of Rosenstein's advice.
"You are witnessing the single greatest WITCH HUNT in American political history - led by some very bad and conflicted people!"
Moscow has denied US intelligence agencies' conclusion that it interfered in last year's USA presidential election campaign to try to tilt the vote in Trump's favor. Rosenstein in a memo to Trump raised concerns over FBI Director James Comey.More news: Jury begins deliberating sex charges against Bill Cosby
Putin also echoed Trump's criticism of Comey, saying it was "very strange" for a former Federal Bureau of Investigation chief to leak details of his conversations with the US president to the media through a friend.
Trump is under increasing pressure on the Russian Federation probe.
Friday's tweets are the latest in a week of angry social media responses by the president after a report by The Washington Post that Mueller was looking into whether Trump obstructed justice.
The president has denied that he has any nefarious ties to Russian Federation and has also disputed that he's attempted to block the investigation into his campaign's possible role in Russia's election-related hacking.
Moscow has denied any interference.
It has become the story that just won't die for the White House as Donald Trump deals with the scandal involving Russian Federation. He's also hired Andrew Weissmann, who led the Enron investigation.
"The FBI leak of information regarding the president is outrageous, inexcusable and illegal", said Mark Corallo, the spokesman, according to The Post.
USA TODAY previously reported that the FBI was investigating Kushner for his contact with Russian officials, but there was no word at that time that his financial dealings were part of the probe.
Trump's tweets following the report appeared to confirm the investigation, but his lawyer said it only appeared that way because of the character limit on Twitter.