The Police Association wants an "absolute crackdown" on motorists whose behaviour leads to police chases.
The suggestion follows calls from Australian police for a mandatory three-year jail term for such offenders.
On Wednesday, a motorcyclist died in a crash after he was earlier involved in a pursuit in Wellington. The Independent Police Conduct Authority will look into the incident.
Police Association president Greg O'Connor says there is a provision for a $10,000 fine for failing to stop for police, but it is never imposed.
Fines generally range from $200 and $300, he says.
Mr O'Connor says such crashes often result in injury to the person fleeing police and to other people.