In two Twitter postings, the Republican president assailed the latest development to roil his four-month-old administration.
"With all of the illegal acts that took place in the Clinton campaign & Obama Administration, there was never a special counsel appointed!". "This is the single greatest witch-hunt of a politician in American history!"
Democratic Senator Amy Klobuchar responded, "This is a truth hunt".
US stocks rose as upbeat economic data emboldened investors to return to the market on Thursday, a day after Wall Street saw its worst selloff in eight months on worries that the political turmoil could sideline Trump initiatives such as tax cuts that investors see as favouring economic growth.
Brimming with resentment, President Donald Trump fervently denied on Thursday that his campaign had collaborated with Russian Federation or that he'd tried to kill an Federal Bureau of Investigation probe of the issue, contending that "even my enemies" recognize his innocence and declaring himself the most unfairly hounded president in history.
Staff also said the reason for the firing was Mr Comey's handling of the FBI investigation into Hillary Clinton's private email servers.
But Mr Trump, after issuing a measured statement when the news first broke on Wednesday evening, allowed his resentment to burst forth on Thursday in angry morning tweets. After the briefing, California Democrat Kamala Harris was asked if Rosenstein's integrity was compromised by writing the memo after he knew Comey would be fired. He was sacked as national security adviser in February after it emerged he had misled Vice President Mike Pence about conversations with the Russian ambassador to Washington in December.
Vietnam urges prevention of WannaCry ransomware
Microsoft had already released fixes to the vulnerability in March, but has provided further updates and reminders to users. Some have also been machines involved in manufacturing or hospital functions, hard to patch without disrupting operations.
At the same time, congressional committees are continuing their own investigations, leading to some turf warfare and sniping as the Senate Intelligence Committee and the Senate Judiciary Committee both sought to lay claim to testimony from Comey, while the House Oversight Committee also hoped to hear from the former director.
Trump said that the attitude is a big reason why he won the November election.
In the Russian city of Sochi, Kremlin spokesman Dmitry Peskov declined to comment on Mueller's appointment, calling it an "internal matter" for the United States.
His initial response was seen as moderate, but now President Trump has lashed out at the appointment of a special counsel to investigate possible links between his team and Russian Federation.
Rosenstein was due to brief USA senators later on Thursday.
Mr Rosenstein's disclosure seems to confirm Mr Trump's version of the story - that he had made up his mind to fire Mr Comey before the Justice Department wrote their memos about him.
Asked if he had done anything that might merit prosecution or even impeachment, Mr Trump said "no" and then added of the lingering allegations and questions: "I think it's totally ridiculous". Republicans on Capitol Hill hoped the same, reasoning that the appointment of a special counsel could free them to work on a major tax overhaul and other matters without constant distractions.
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