Newman said he was making enquiries about the incident.
Police closed part of Karaka Road while they investigated on Saturday.
“Our thoughts are with the family involved, and we are ensuring there is support available for them at this difficult time,” a spokesperson said.
Police have not released any further details about the child, such as their age.
The incident was the second fatality of a child in a driveway in the space of a week.
Last Tuesday, another child was killed in a driveway crash in the nearby town of Waiuku.
According to government figures, New Zealand has one of the highest rates of childhood driveway deaths and injuries in the world.
On average, a child is hospitalised every two weeks after being injured by a vehicle in a driveway, and five children die every year.
Most children injured in driveway crashes are toddlers, with an average age of two.
RNZ