And out in the districts, just four of 11 commanding officers have passed the PCT recently.
It is not a requirement for "commissioned officers", including Commissioner Peter Marshall, deputy and assistant commissioners and district commanders, to hold a PCT.
But some chose to gain the certificate as part of their leadership duties.
A senior officer said that all sworn officers should have to pass the test, and it was "not a good look" for officers with management duties to be exempt.
He said that although they were in managerial positions, there was always a chance they would need to step in and assist in dealing with offenders and at incidents - so should have their fitness tested to ensure they were up to the job.
Police national headquarters would not say which of the executive and district commanders did not have current certificates.
But the Herald can reveal Canterbury district commander Superintendent Gary Knowles recently failed the test.
"Superintendent Knowles recently decided to sit the PCT test to show his support for constabulary staff who were in the process of attaining their PCT," said Deputy Commissioner Mike Bush.
"Whilst completing the PCT, Superintendent Knowles injured himself badly. He only missed out on attaining his PCT by a few seconds.
"However, he is not able to attempt it again for several weeks, but is committed to attaining it."
Mr Bush pointed out that while it wasn't a requirement for Commissioner Marshall to do so, he recently obtained his PCT, as did Assistant Commissioner Grant Nicholls and Maori, Pacific and ethnic services general manager Wally Haumaha.
He said that as of last Friday, 96.9 per cent of constabulary staff had a current PCT certificate, compared with 86.4 per cent in May last year.
"The New Zealand Police are one of very few police jurisdictions in the world that has a physical standard that is maintained throughout an officer's career," Mr Bush said.
Commander leads the way for his troops
If the commissioner can do it ...
Last month, Police Commissioner Peter Marshall, 59, completed the physical competency test in 2 mins 56 secs - 30 secs under the time limit for his age and gender.
What is the PCT?
The test involves completing a 400m course of tasks in this order:
*Pushing a car trailer 10m.
*Carrying a car wheel assembly 10m.
*Running 200m.
*Walking on a 5m right-angle beam, a metre off the ground.
*Jumping a 1.8m long jump.
*Running around cones and under and over hurdles for 30m.
*Climbing through a one-metre-high window.
*Climbing over a solid 1.8m-high wall.
*Dragging a body 7.5m.
*Climbing a 2.2m-high wire fence.
Competition times for the PCT course vary, according to the officer's age and gender.
