A third person was taken to hospital in a serious condition, the spokesman said.
A woman close to the injured person said on social media they had been hurt by an airbag, but had recovered and were released from hospital the same night.
Police were on Tuesday unable to confirm social media reports that a medical event had occurred prior to the crash.
A Fire and Emergency New Zealand spokesman said three trucks were called to the scene, two from Napier and one from Taradale.
The crash came the same day as a New Zealand Professional Firefighters Union (NZPFU) strike, the 22nd time NZPFU has taken strike action, but did not occur at the time of the strike.