"Tragically three people have died as a result, two of the deceased were from the fleeing vehicle and the third person was an innocent member of the public.
"An outcome like this is the last thing police want to see."
Johnson said the next of kin were still being notified of the crash.
"We now have three families who have lost members and our thoughts are with them during this difficult time."
Johnson said this kind of incident was "extremely testing" for police, who aimed to protect their community.
"They are fast-moving, unpredictable and high pressure situations that require quick judgements."
The crash will be investigated and the Independent Police Conduct Authority has been notified.
SH6 HOPE - CRASH - FINAL UPDATE 12:30PM
This crash has now been cleared, and the road is fully OPEN. Thank you for your...
Posted by Waka Kotahi NZ Transport Agency - South Island on Saturday, 10 March 2018
The Independent Police Conduct Authority and police were already reviewing police pursuits nationwide after a series of fatal crashes.
The latest crash brings the weekend road toll to eight.
Meanwhile, three people are in hospital with injuries after a crash in Northland overnight.
A St John helicopter rushed to the scene in Ruakaka shortly before midnight and a crew treated the injured parties.
One person was critically injured in the crash, and two others had serious injuries.
One patient was airlifted to Auckland hospital and two others were flown to Whangarei Hospital.
A police spokeswoman said just one vehicle was involved in the crash, which happened on Peter Snell Rd.
The vehicle had driven off the road.
Five fatal crashes earlier in weekend
The first person killed was a man who died in a single-vehicle crash on Mountain View Rd in Hikurangi, Northland, just before midnight on Friday.
Two people received minor injuries.
Seven hours later two people died when a truck and a van collided in the central North Island at 6.40am on Saturday.
The crash happened at the intersection of State Highway 47 and SH48, the same place a bus crashed down a bank 14 months ago, injuring 14 tourists and the driver.
Two people died and a third was flown to Auckland Hospital in a serious condition after two cars crashed on State Highway 10 about 2.20pm, north of Kaeo, in the Far North yesterday.
When emergency services arrived at the crash, they found four people trapped — three in one vehicle, one in another.
The crashes bring this year's road toll to 77 — nine more than at the same time last year.