The message of the current campaign, which runs until January 11, is to 'make it click'.
"We are promoting and supporting the road safety messages that the police put out nationally."
Brown said the safety reminder was as much about looking out for people on the road as it was about the wellbeing of emergency response staff.
"It's about the health and wellbeing of emergency response people too.
"[Attending motor vehicle crashes] does take a toll."
With messages in both te reo Māori and English, it was about reaching as many people as possible, he said.
The design of the coffee cup is also includes rainbow colours representing the LGBT community with a kōtuku, white heron, flying through as it is a "very special bird" in Māoridom.
The biodegradable coffee cups are available at a range of local cafes.