Both charges were dropped on March 23 to help key workers get to work while avoiding public transport.
Car parking restrictions were relaxed during this period, too.
The Evening Standard reports the reintroduction of the charges comes two weeks earlier than planned.
Transport for London has also confirmed the Congestion Charge will be “temporarily” increased from £11.50 to £15 from June 22.
It will be enforced seven days a week, rather than only on weekdays, and operating hours in the evening will be extended from 6pm to 10pm.
The morning enforcement start-time of 7am will remain.
The changes follow the agreement of a £1.6 billion government support package for Transport for London, whose finances have been hit by a plunge in passenger numbers during the coronavirus crisis.
“Enormous challenges remain,” said London Transport Commissioner Mike Brown, “including agreeing longer term sustainable funding for transport in the capital.”
NHS workers, however, will continue to benefit from a Congestion Charge reinbursement scheme that refunds them for journeys related to coronavirus, including to and from work.
This scheme has now been extended to support care home employees too.
Transport for London has a dedicated page explaining how NHS staff and care home employees can be reimbursed for the London Congestion Charge.