The owner was wheeling out his motorbike when it caught fire and exploded and spread to two flats.
Residents reported a number of explosions at the property which are understood to have been the petrol tanks exploding on a number of motorbikes.
A small part of a ground floor flat and a small part of a flat on the first floor have been damaged by fire. Four motorbikes in the front garden have been completely destroyed by the blaze too.
One woman suffering from smoke inhalation was taken to hospital by the London Ambulance Service (LAS) and a second woman also suffering from smoke inhalation was treated on scene by LAS.
The Brigade was called at 12.43pm and the incident was under control by just before 2pm.
Fire crews from North Kensington, West Hampstead and Kensington fire stations attended the scene.
The cause of the fire is under investigation.