He said additional support was given to "all our children, families and staff who have been left shaken by this".
The spokesman said the girl remained in Starship Hospital with family by her side - one of the centre staff had also gone to visit her and give her family support.
The childcare centre was unable to be more specific about what had happened as the matter was still under police investigation.
The Serious Crash Unit is investigating.
The spokesman said the Ministry of Education had provided the centre with support and continued to work with the centre.
The road, which was closed immediately after the accident, reopened to traffic around 10am this morning.
Wiremu Eketone witnessed the aftermath of the accident.
He said he had been watching YouTube on his computer when he heard screaming and went out to investigate.
"We came out and saw the girl on the ground. She was already hit when we came out."
"She was lying in front of a brown van at the side of the road.
"She was unconscious for a little while, then she came round. She wasn't moving but she still had a heartbeat. After a minute or so she came around and started kicking and screaming."
Eketone said several women were attending to the girl before emergency services arrived.
"I hope she [the injured girl] is okay."
Eketone and a local parent said Taniwha St is used by drivers as a shortcut.
"This street is so busy. There's no real pedestrian crossings ... It's a bit dangerous," said Eketone, a grandfather.