Seventy-year-old Herbert Bradley died after being stabbed on Auckland's Upper Queen Street on Wednesday.
Releasing his name on Friday, police said Bradley's family were getting support to work through the "tragedy they have suffered".
Detective Inspector Scott Beard said police would today complete a scene examination at the apartment where the stabbing occurred.
"The investigation still continues, along with the prosecution phase of the two accused charged with Mr. Bradley's murder.
"Police would like thank those residents and workers around the apartment block and car park for their understanding and assistance."
On Wednesday night, a 35-year-old man and 26-year-old woman were arrested.
They appeared in Auckland District Court by video link and were granted interim name suppression. No pleas were entered.
The woman was visibly emotional, taking a moment to gather herself before the proceedings.