At least 12 shots were fired at the man shot and killed by police earlier this month, his family say.
Jerrim Toms, who was already facing charges of failing to stop for police and dangerous driving, was killed after allegedly approaching police with a machete after leading them on a long pursuit.
The 29-year-old's family told RNZ that police informed them that at least 12 shots were fired.
Four of the bullets were said to have hit Toms at close range, including one to his left hand, two in his chest, and one to his lower back.
Information released in the days after the shooting said officers were called to an Onehunga address just after 3am on Saturday by a woman reporting that Toms was acting erratically.
She left the property, fearing for her safety.
Police arrived at 3.10am but Toms was not there.
Less than half an hour later, a police officer on his way home from work saw a car pulled over with its hazard lights on SH1 north of Auckland.
The car sped off when the police officer approached, and then stopped again.
The officer also stopped and the driver got out and approached the driver's side of the patrol car.