Eisen, an anti-Trump lawyer, also represents anonymous FBI agents suing the Department of Justice to block the public identification of agents who investigated the Jan. 6 riot.
He also worked with House Democrats on Trump’s first impeachment.
The move comes a day after Trump stripped his predecessor, former President Joe Biden, of his security clearance and his access to presidential daily briefs.
"There is no need for Joe Biden to continue receiving access to classified information," Trump wrote in a post on Truth Social Friday night.
He added the precedent was set by Biden himself.
"He set this precedent in 2021, when he instructed the Intelligence Community (IC) to stop the 45th President of the United States (ME!) from accessing details on National Security, a courtesy provided to former Presidents," Trump wrote.
At the time, Biden claimed Trump was exhibiting "erratic behavior."
Former presidents usually continue to receive intelligence briefings after leaving office.
"The Hur Report revealed that Biden suffers from ‘poor memory’ and, even in his ‘prime,’ could not be trusted with sensitive information. I will always protect our National Security — JOE, YOU’RE FIRED. MAKE AMERICA GREAT AGAIN!" Trump wrote on Truth Social on Friday.
The 2024 Hur Report followed an investigation into Biden's handling of classified documents.
Alexandra Koch contributed to this report.