Ted Lieu of California and Don Beyer of Virginia wrote to White House counsel Don McGhan, raising concerns that the couple have breached security.
Hundreds of emails have been sent since January from White House addresses to accounts on the Kushner family domain, Politico reported earlier this week.
Mr Kushner had already been accused of exchanging work emails with White House officials from a personal account.
As public scrutiny over Mr Kushner's email accounts intensified, the couple reportedly re-routed their personal email accounts to computers run by the Trump Organisation.
“These new revelations, along with the ongoing White House probe of Ms Trump's private email use, have compromised Ms Trump's integrity and credibility,” the congressmen's letter said.
The allegations – which echo an email scandal surrounding Hillary Clinton – followed accusations that Mr Kushner had colluded with Russia and that he had omitted millions of dollars from his personal financial disclosure reports.
The letter said: “In light of the recent developments relating to both Mr Kushner's email accounts and his financial disclosure statements, we would like to reiterate our request that you immediately revoke his security clearance.”
It is latest in a series of attempts to remove the couple from the White House. In July, Mr Beyer led a group of 20 Democrats in Congress in calling for the FBI to probe Mr Trump's daughter, saying they were concerned she was involved in "deception".
Mr Beyer also spearheaded campaigns in April and June to get Mr Kushner's clearance revoked.