Section 21 would be withdrawn as part of Labour plans to tackle the housing crisis.
So-called no-fault evictions are linked to homelessness and have increased in recent years, research suggests.
Shadow housing minister John Healey said Labour wants to end rough sleeping within a parliament.
He also announced unions for renters, so that tenants can organise and defend their rights, as well as reiterating Labour plans to control rents and put an end to rogue landlords.
Radical housing policy
Healey said: “The next Labour government will be the most radical government on housing since that great post-war Labour government, and we will do whatever it takes to end this Tory housing crisis.
“When rough sleeping has doubled, home-ownership has fallen, rents have risen and last year saw the lowest number of new social rented homes built since the Second World War: Then our country needs change.”
David Smith, policy director for the Residential Landlords Association, said: “Many landlords resort to Section 21 notices because the alternative procedures take too long to process through the courts.
“The vast majority of tenants enjoy good relations with their landlords.
“In the minority of cases where things go wrong however, landlords need the confidence that they can regain possession of a property swiftly when faced with tenants not paying their rent or committing anti-social behaviour.”