It's unclear what form of the memos lawmakers will have access to.
Jonathan Turley, a law professor at George Washington University, said the move by DOJ to share the memos tied to an ongoing investigation to Congress was "relatively rare" but "entirely appropriate."
"Congress has a legitimate interest of oversight in the memos," he said in an email.
The former FBI director shared unclassified versions of several memos with a friend, who then read the contents of one memo - detailing Trump's conversation with Comey about ending the investigation into former national security adviser Michael Flynn - to a New York Times reporter.
"It is certainly true that most such requests in the past have been declined," Turley said. "However, Comey already released some of these memos to a third party."
The memos have not been previously available to the full membership of the three committees - and have only been reviewed by a select number of lawmakers and aides. Republicans have suggested that they want to make the memos - a central part of the investigation surrounding Trump's firing of Comey and questions of potential obstruction of justice - available to the public.
Comey, in an interview with CNN Thursday, said the release of his memos to Congress is "fine by me."
"I don't have any -- I don't have any views on it. I'm totally fine with transparency. I've tried to be transparent throughout this, and I think what folks will see if they get to see the memos, is I've been consistent since the very beginning, right after my encounters with President Trump, and I'm consistent in the book and try to be transparent in the book as well," he said.
Earlier this week, two House conservatives and Trump allies, Reps. Mark Meadows of North Carolina and Jim Jordan of Ohio, met with Rosenstein to press him on the pace of document production, according to a source familiar with the meeting.