Wood Lane has been closed to traffic and people advised to avoid the area as emergency services ramp up efforts to fight the fire.
"The incident will remain ongoing for some time, with crews expected on scene throughout the day," the London Fire Brigade said.
"The Brigade was called at 3:08am and Control Officers have mobilised crews from Hammersmith, North Kensington, Kensington, Chiswick and surrounding fire stations to the scene.
"Two 32-metre turntable ladders are also attending and are being deployed as water towers to help extinguish the fire from height. The Brigade's drone team is also in attendance, providing the Incident Commander with a greater situational awareness of the fire."
