Director-General of Health Ashley Bloomfield has apologised to the family of a woman who died of coronavirus after he publicly described her condition as "stable".

Invercargill woman Jocelyn Finlayson died overnight in Dunedin Hospital ICU after battling Covid-19.

Bloomfield confirmed the death at today's Covid-19 update and said arrangements were made for her family to be with her last night as she passed away.

Finlayson's daughter Nicole earlier said her family was worried the seriousness of her condition was being downplayed publicly after Bloomfield described her condition on Tuesday as stable.

Nicole was initially elated when she heard the briefing on Tuesday and thought her mother's condition must have changed since they had spoken to doctors that morning.

"I rang my dad to see if he had received a further update from the hospital, he hadn't. I rang the hospital and they confirmed she was still critical. This was a little heartbreaking," she told RNZ.

At today's update Bloomfield apologised for any anxiety this caused.

"Prior to yesterday the information I had was that the person who has subsequently died was in critical condition and yesterday it said stable which reflected the fact there had been no change.

"But I am very sorry because I think ... that did create some anxiety and concern for the family.

"So I am sorry that happened and I am certainly happy to be in touch with them personally if they would like to."

Prime Minister Jacinda Ardern said that in future authorities may only say if a patient is in ICU and not mention their status.

"Because in this case perhaps the health terminology will mean different things to different people and no-one wants to create any kind of extra additional distress for families as obviously has been caused in this case."

Invercargill woman Jocelyn Finlayson with her grandson. Photo / Otago Daily Times

Ms Finlayson's death was confirmed to the Otago Daily Times by her son Will Finlayson this morning.

The 62-year-old last left her home on March 17 before going into lockdown with her family in Invercargill.

The family was unsure of how she contracted the virus, Finlayson said.

After she became unwell on March 28 she was tested on April 1 then returned home. She got her results on April 3 and was admitted into Southland Hospital on April 4.

She was later flown to Dunedin Hospital when she was put on a ventilator on April 6.

She died yesterday.

Bloomfield said she had been "very unwell" in intensive care in Dunedin Hospital and had an underlying health condition.

"While her family had not been able to visit her over the past few weeks, arrangements were made for them to be with her last night as she passed away."

Finlayson was one of two deaths from Covid-19 announced today, bringing the total number of deaths from Covid-19 to 16.

The second death announced today was a resident of Rosewood rest home in Christchurch, a man in his 70s. There are now nine deaths associated with that cluster.

"My sympathies go out to the families of both of these people and once again we are reminded of the serious threat that this infection poses to individuals and our communities."

Finlayson is the second person from Invercargill to die of Covid-19.

Alister Peter Brookland, in his 70s, known as Barney, died on Tuesday last week in his Kingswell home.

Ms Finlayson's daughter Nicole told RNZ her father and four other family members - including a toddler and a baby - had also caught Covid-19.

"Mum was isolated in the family home for a week after first getting flu-like symptoms. Food was left at her door, no one could hug her. When she was taken to the hospital, no one could hug her goodbye," she said.

"When mum was in Southland Hospital, the nurses ensured her phone was charged so that we could communicate with her and I will be eternally grateful for that," she said.

"But obviously since she was sedated and intubated [two weeks ago], we haven't been able to communicate with her, and our only contact is through the medical staff caring for her."

The description of her condition in the Government media conference this week has upset the family.

On Tuesday, Bloomfield said none of the patients in hospital were critical; yesterday he said they were stable.

Nicole said it made her question the accuracy of the information in the press conferences.

She worried people would not understand how serious the situation was.

The Ministry of Health said the medical terminology it used for "stable" meant there had been no change in a patient's condition.

The fact the person was in intensive care denoted the seriousness of their condition, it said in a statement.

A Southern District Health Board spokeswoman said yesterday the woman had been in ICU for two weeks.

Her condition was yesterday described as stable but critical.