"In cases where police officers have a legitimate need to respond urgently, tickets are waived," he said.
"Police are just as accountable for their driving as any member of the public, and we both demand and expect high standards. In any case where speed is not justified, we accept responsibility for this."
He said police have a responsibility to model good driving behaviour as they enforce the law for other motorists.
"In all cases where officers are ticketed for exceeding the speed limit, this is followed up and an explanation is sought," said Mr Griffiths.
"If the speed is not found to be justified in the circumstances, the driver responsible is required to pay any infringements incurred."
He said police staff receive regular driving training and there are a range of actions police could take in relation to driving breaches.
One officer who had to pay their ticket was 27 km/h over the limit, while in another incident an officer, who was 61 km/h over the limit, did not have to pay their fine.
Wairarapa police Senior Sergeant Carolyn Watson said she was unable to comment on the statistics as they were not specific to the area.