Detective Sergeant Scott Hunter said police were still searching for any weapon used in the incident.
"We can't confirm what weapons were used ... we don't know if it was a screwdriver, a shank, a knife,'' Mr Hunter said.
Scenes of crime officers have been taking evidence from the park and Aotea Square today.
Mr Hunter said police were interviewing friends of the two injured men and were trying to determine other potential witnesses.
Police are appealing for any members of the public who may have information that could help the investigation to call Auckland CIB on 09 302 6400 or Crimestoppers on 0800 555 111.