Four fire engines and around 25 firefighters were called to sheds alight on Jeymer Drive in Greenford.
A single-storey shed was destroyed and two additional sheds were also damaged by fire. There were no reports of any injuries.
The fire is believed to have been accidental and caused by the failure of a lithium-ion battery.
A London Fire Brigade spokesperson said: “Lithium batteries are susceptible to failure if incorrect chargers are used, so it’s important to always use the correct charger for the product and buy an official one from a reputable seller.
“You should unplug your charger when you have finished using it and we would advise not to leave it unattended or charging while people are asleep.
“Batteries can present a fire risk if they’re over-charged, short circuited, submerged in water or damaged, so it’s really important to protect them against being damaged too.
“Try to ensure they are not getting knocked around while in use or while being carried as this can increase the chance of damage to cells.”
The Brigade's Control Officers took the first of 10 calls to the fire at 0031 and sent crews from Northolt and Wembley fire stations to the scene. The fire was under control by 0155.