Christopher Luxon and Nicola Willis were on their way to Wellington Airport about 3.30pm yesterday when a police car crashed into the back of them on Cobham Drive.
Luxon said the crash was "a bit of a shock", but that he was "all good".
"Very minor incident, we're all fine."
Luxon and Willis had been at Parliament for a media conference responding to the cut in the Official Cash Rate yesterday.
The crash took place shortly afterwards as they headed for a flight.
A police spokesperson said it was a minor nose-to-tail collision, with no injuries reported, and no members of the public were involved.
An investigation has begun.
A spokesperson for the Department of Internal Affairs confirmed the crash and said in a statement that the Crown car "sustained damage to the rear of the vehicle".