After landing, the pilot reported an object - believed to be a drone that struck the front of the Airbus A320, Scotland Yard said.
The British Airways flight from Geneva was hit as it approached the London airport at about 12:50 local UK time with 132 passengers and five crew on board.
Aviation police based at Heathrow have launched an investigation, BBC reported.
Metropolitan Policesaid it has made no arrests in the case so far.
A British Airways spokesperson said: "Our aircraft landed safely, was fully examined by our engineers and it was cleared to operate its next flight.
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