A Fire Service spokesman said there were about six calls overnight from Hobsonville residents, most requiring assistance as more heavy rain leaked through damaged roofs.
Vector said power would likely be restored to 1300 customers later today.
Prime Minister John Key is expected to visit the site later this morning.
Auckland Mayor Len Brown said his heart goes out to all those affected.
"Some of these people will be significantly traumatised and it's just a time to embrace them and give them some care."
He said it is a disaster which has left a trail of destruction.
"Like a knife through butter for some of those trees. The powerful tornado and clearly a good size. Devastating and very, very big and old trees uprooted. Clearly a major weather event."
Auckland's Deputy Mayor Penny Hulse said people are still trying to come to grips with the death and devastation left by yesterday's tornado.
She said they have a huge job ahead.
"Everyone is reeling from the shock of the deaths and injuries and the destruction but we've had our council staff, our building inspectors out on the ground door-knocking and inspecting damage."