The massive 500kg bomb was discovered near George V Dock in East London on Sunday (11 February), forcing nearby London City Airport to close to air traffic as experts attempted to bring the device under control.
The Metropolitan Police said the device would be transported to a secure disposal area, where it will be detonated in a controlled explosion.
The airport said it would remain closed for the rest of the day but should be open as normal on Tuesday.
"Following the discovery of a World War II ordnance in King George V Dock as part of planned development works, a 214m exclusion zone has been implemented", the airport said in a statement.
Royal Navy divers worked through Monday night to move the 1.5 metre-long German bomb down the Thames.
London City Airport CEO Robert Sinclair announced last night that flights would resume as normal today.More news: UCL: Guardiola hails Manchester City's win over Basel as an 'amazing result'
Dozens of flights had to be cancelled or re-routed yesterday after the bomb was found.
Lieutenant Commander Jonny Campbell, the officer in charge of Southern Diving Unit 2, said: "Our priority is safety to life which is why the airport has been closed as a precautionary measure".
An unexploded World-War-II-era bomb has shut down London's City Airport, leaving all flights in and out of the airport cancelled and affecting up to 16,000 passengers.
Police say every effort is being made to progress the operation as quickly as possible, but all steps and precautions must be taken to ensure the device is dealt with safely.
The navy plans to attach high-grade military detonators to blow it up.
London City Airport urged passengers not to travel to the airport and to contact their airlines for further information.