Team mate Manu Tuilagi, who was shown a red card late in the match for a dangerous tackle, will have to serve a four-week suspension.
An independent disciplinary committee heard submissions from Marler at a meeting in Dublin and found he had committed foul play that warranted a red card.
The committee reduced a potential 12-week sanction by three weeks to take account of mitigating factors but then added a week because of Marler's most recent disciplinary record.
"Marler is therefore suspended for 10 weeks and, given his playing schedule, is free to resume playing on Monday, 8 June 2020," the RFU said in a statement.
The committee reduced Tuilagi's six-week suspension by two weeks to take account of mitigating factors, including good conduct and immediate remorse.
(Reporting by Alan Baldwin, editing by Ed Osmond)