The bombshell news comes days after it was reported by multiple outlets that Rosenstein suggested invoking the 25th Amendment to remove Trump from office, and even proposed wearing a wire to record his conversations with the president.
Mr Rosenstein, the No 2 Justice Department official, verbally resigned to White House Chief of Staff John Kelly, the report said, citing an unidentified source with knowledge of the matter. Rosenstein overseas Mueller's Russian Federation investigation.
They've complained about the FBI's surveillance of Page and its use of a confidential human source in 2016, who met and talked with a few Trump campaign workers as the Federal Bureau of Investigation sought to investigate the "active measures" that Russian Federation had directed against the United States.
Rosenstein has been a controversial figure in the Trump administration for some time.
Rosenstein also drew the ire of Trump and his allies when it emerged that he had signed the final application for surveillance on Trump's onetime junior campaign aide, Carter Page.
In a second statement hours later, Rosenstein said: "I never pursued or authorized recording the president and any suggestion that I have ever advocated for the removal of the President is absolutely false", he said.
Top administration officials responded to that op-ed and the revelations around Mr. Rosenstein in much the same way: telling anyone who believes the president is unfit for office to find a new job.
If Rosenstein were to resign instead of being fired, it would allow the White House to use the Vacancies Act to fill his role.
"There is nothing more important to the integrity of law enforcement and the rule of law than protecting the investigation of Special Counsel Mueller".
It would, according to Republican allies of the President, who have urged him to hold off on a purge of Justice Department officials until Brett Kavanaugh is safely in place on the high court.
"I'd like to make something crystal clear to the president". For the sake of our country, we plead with you.