Speaking at the White House, he denied having asked for Mr Comey’s loyalty or for an inquiry into a former White House aide to be dropped.
“James Comey confirmed a lot of what I said, and some of the things he said just weren’t true,” Mr Trump said.
Meanwhile, a congressional panel asked for any tapes of their conversations.
House and Senate investigators fired off a series of requests after former FBI Director James Comey’s testimony, seeking memos of his private discussions with President Donald Trump and any records the White House kept of their discussion — including audio recordings.
The leaders of the House Russia investigation, Reps. Michael Conaway, a Texas Republican, and Adam Schiff, a California Democrat, sent a request Friday directly to Comey for copies of his memos. They sent a separate request to Trump’s White House counsel, Don McGahn, for any record the White House had of their meetings.
The House requested Comey and the White House provide the records, including tapes if they exist, by June 23.
Mr Trump tweeted earlier on Friday he felt “complete vindication” after the hearing.
Mr Comey also told senators that he had leaked details of his memos about his conversations with Mr Trump to a friend, who passed them on to a reporter.
After the testimony, Mr Trump’s lawyer accused the former FBI chief of having divulged “privileged communications”.