The man shot by police in Porirua on Sunday morning was 44-year-old Christopher Wayne Brown.
Brown, who is from the wider Porirua area, was shot early on Sunday after approaching a police car brandishing a machete.
He died in an ambulance on the way to hospital.
Police had been searching for Brown after a domestic dispute call-out.
Acting District Commander for Wellington, Superintendent Steve Kehoe, said police are still investigating the incident.