The plane, named the Queen of Sheba, had been on the ground for 8 hours in a remote part of the airport when the fire started inside the plane Friday, the BBC reported.
The Ethiopian Airlines craft had been the first Dreamliner to fly after 50 of the Boeing-built planes were grounded in January because of malfunctioning lithium-ion batteries.
The new version of the batteries operates at cooler temperatures and is enclosed in stainless steel boxes.
The fire caused no injuries or significant damage, although the top of the fuselage near the tail was scorched, The New York Times reported. That area is not close to the batteries.
Aviation experts said the batteries would not have been in use at the time of the fire unless they were charging.
Investigators said Saturday there was no direct link between the 787's batteries and the fire. They said the fire was not near the batteries.