Cllr Muhammed Butt, Leader of Brent Council, said:
"Last night London Fire Brigade responded to a house fire on Tillett Close in Stonebridge, which tragically claimed the lives of four people.
"Our deepest condolences, thoughts, and prayers are with the families and friends of those who lost their lives in this horrific incident.
"The council has set up a rest centre nearby and a dedicated team has been looking after families who needed to be evacuated. We will continue to support those affected.
"We are working closely with the London Fire Brigade and the Metropolitan Police as they conduct their investigations into the cause of the fire, and will continue to offer them our full support and assistance."