All flights were cancelled on Monday after an exclusion zone was put in place, with the closure affecting up to 16,000 passengers and nearby residents being evacuated from their homes.
A total of 261 arrivals and departures had been scheduled for Monday.
The bomb is due to be detonated in a controlled explosion in Shoeburyness later on Tuesday.
Between September 1940 and May 1941, the Germans dropped about 24,000 tonnes of explosives on London - but 10 per cent of them did not detonate, according to historians.
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