The man shot and killed in Māngere on Sunday morning was 26-year-old Arthur Brown.
Detective Inspector Tofilau Faa Va'aelua said a post mortem indicated he died from a gunshot wound.
"Police remain focused on investigating the circumstances around Mr Brown's death," he said.
"Our investigators have made steady progress in the last two days preserving and securing evidence.
"We are continuing with the gathering of CCTV footage from the immediate area and elsewhere.