However, because of the inclement weather, it has been deemed too dangerous to continue any further work to try and remove the truck tonight.
"The task of doing this will resume tomorrow, using heavy haulage trucks," Mr Moore-Carter said.
"The task of removing the truck is very challenging. It has gone down a very steep bank and slid around 25 metres onto it's side in thick bush. It is currently resting on soft ground."
Police said Kauri Road and Hebe Place will be reopened shortly but advised members of the public to refrain from going to the site to have a look.
"It is dangerous and unstable."
The victim will not be named today as next of kin are still being notified.
Worksafe NZ have attended the site, and the Waitemata Police Serious Crash Unit have been there since the crash occurred.
The truck was contracted to Auckland Council.
Infrastructure and Environmental Services Acting General Manager John Dragicevich said: "The truck was contracted to Auckland Council for rubbish collection services and we are currently working with police on the circumstances surrounding the crash."
"We would like to extend our most sincere condolences and support to the family and loved ones of the person who has so tragically lost their life today, as well as our sympathies to the family of the injured driver."
Mr Dragicevich said the council was also aware there is some diesel spillage at the site, and staff will be working alongside the fire service in order to contain it.
"The man was calling for help"
Hebe Place resident Graham Lundie said he rushed outside when he heard a number of "huge bangs" as the truck went over the bank.
The injured man was calling for help from inside the truck cab, he said.
He is still inside the vehicle.
"I think his legs are trapped so they can't get him out," Mr Lundie said.
"It's quite a serious cliff its fallen over. It's really stuck right down in the valley.
"It looks like it's going to go on for a couple of hours actually."
Another resident who lives down the steep street said police allowed him through the cordoned-off area because he had a flight to catch.
He could not see anything to do with the accident, he said.
It is about 1km to the end of Hebe Place from the cordoned-off start to Kauri Rd.
Kauri Rd resident Bob Gentil returned to his house early this afternoon to find cordons and emergency service vehicles. He parked his car on a neighbouring street and was ferried to his house in a road sweeping truck.
"The driver told me there was a young girl in the rubbish truck with the driver," he said.
"From my house, I can see six fire engines - one's a command centre. There's an ambulance in my driveway and another four ambulances parked around.
"The accident investigation team is measuring the street on Kauri Rd."
Mr Gentil said the truck had left the road at the bottom of the steep street.
"Off the side there, it drops straight down about 20m in bush."
The surface in that area was paved with concrete.
Mr Gentil said he did not know what had caused the accident but he had complained about the state of the road in the past.
"The council have come along and put tar in the cracks here and there."
He said it had been raining on and off, but the roads were not very wet.
"My best guess would be the truck has come down the street too fast, it's not in a part of the street where you would be trying to manoeuvre around."
Mr Gentil said emergency services will need some heavy lifting equipment to retrieve the truck and he was told the operations were likely to continue late into the night.
