"Our sole focus is to get their loved ones back and to follow the cultural traditions such as the washing and shrouding of their loved ones, and we have made premises available to carry out these sensitive cultural issues", he said. "So we are doing that as quickly and sensitively as possible".
Police said they had released a preliminary list of the victims to families, which has helped give closure to some relatives who were waiting for any news.
The terror attack suspect, who live-streamed for about 17 minutes his rampage through two mosques here, is an Australian-born citizen and is a resident of Dunedin, situated around 360 km south of Christchurch.
At least one victim was expected to be returned tonight, he said, and emphasised that "the most important thing is to ensure that identifications are done to 100 per cent certainty". About two dozen men received instructions on their duties Sunday morning, which included Muslim burial customs.
"If this evil thinks we will stop going to our mosque here or stop doing our worship to our god, Allah, we can not ever stop", Linwood mosque Imam Ibrahim Abdelhalim said.
"In these times of mourning and recollection, our common values, that of a Polynesian world that lives in fraternity and respect for everyone, will help us overcome this bad ordeal".
Javed Dadabhai, who flew from Auckland after learning about the death of his 35-year-old cousin Junaid Mortara, said the Muslim community was being patient.
"For them to come to what they thought was a safe country and end up facing a shocking incident like this is really sad to hear", says Mark Greenhill, news director for New Zealand's news website Stuff.
Still, it was hard, he said, because the grieving process wouldn't really begin until he could bury his cousin.
New Zealand's Prime Minister Jacinda Ardern.
For nearly 3 days forensics teams have been working through multiple crime scenes - at the Al Noor and Linwood mosques as well as a house in Dunedin, the southeastern city where the Tarrant lived. As a light rain fell, people clutched each other and wept quietly.
"We know that there's been young Somalis that have lost their life, people of Turkish backgrounds that have been injured", he told NPR's Weekend Edition from the airport, on his way to Christchurch. We wish we knew your favorite song, what makes you smile, what makes you cry.
In another tragic case, Mucad Ibrahim, aged three, was last seen alive at the Al Noor mosque with his brother and father. Two mosques were targeted in the attack.
Brenton Tarrant, 28, used five guns - "two semi-automatic weapons, two shotguns and a lever-action firearm", the prime minister said.
She said: "I was one of more than 30 recipients of a manifesto that was mailed out nine minutes before the attack took place".
However Ardern was very clear that New Zealand's gun laws would change in the wake of the massacre - the same message she has reiterated over and over since hours after the first shots were fired.