"No," he said when he was asked about the report during a White House news conference yesterday.
According to a report published in the New York Times on Tuesday, Trump asked Comey to end the investigation against Flynn.
"I hope you can let this go," the US president was quoted as telling Comey in the report.
Comey was abruptly fired by Trump at a time when he was leading an investigation into whether the latter's election campaign had links with Russia during the US presidential polls last year.
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When further asked whether he urged Comey in any way to back down the investigation, Trump interrupted the reporter and proceeded to the next question.
Defending his decision to sack Comey, he said the former FBI chief was "very unpopular" among many people.
"I actually thought when I made that decision, that it would be a bipartisan decision. Because you look at all of the people on the Democratic side, not only the Republican side, that were saying such terrible things about director Comey," he said.
"And then on top of that, after the Wednesday performance by director Comey, you had a person come and have to readjust the record, which many people have never seen before, because there were misstatements made," he noted.