Corbyn reportedly said he backed similar calls for the Prime Minister to step down by "very responsible people" who are also "very worried" about her record, the Press Association reported.
His remarks echo similar statements from former David Cameron aide Steve Hilton, who said this morning that May should resign over her handling of terrorist attacks, following the attack at London Bridge on Saturday evening.
Seven people died in the incident, while many more remain in hospital. May responded yesterday by declaring that "enough is enough" and stating that the UK must change how it approaches counter-terrorism.
He said she "should be resigning not seeking re-election", adding that the attack over this weekend was launched by "known wolves" and that May should take responsibility for intelligence failings, based on her previous role as home secretary.