Such a facility could look after women dealing with stillbirth or miscarriage, those with a terminal diagnosis for their unborn baby, and for babies born with life-limiting conditions.

The commitment to a feasibility study came after Canberrans Karen and Daniel Schlage shared their tragic miscarriage story.

Ms Schlage said the ACT maternity system was ill-prepared for perinatal deaths, especially in its ability to offer women autonomy and provide holistic care.

Ms Schlage wanted to go through labour after finding out her son Charlie had died at 15 weeks. However it was presumed by the hospital she would have her baby removed by surgery.

The couple found the language used by some clinicians to be cold and lacking compassion - their baby was simply referred to as the "products of conception".

"This was our baby, we didn't think of Charlie as the products of conception. I know that's medically correct but emotionally it wasn't what we needed," Ms Schlage said

Based on her experience, she asked the government to open a perinatal hospice - a facility she believes would be an Australian-first.

As a result of the family's story and advocacy, an inquiry into ACT's maternity services recommended the government look into this option.

The facility would provide perinatal services and care relevant to women, their babies and families.

The ACT government on Thursday agreed to that recommendation.

"The ACT Government acknowledges the extreme impact that the loss of a child has on a family and that better bereavement care and emotional support is required," it said in its response to the inquiry.

Of the 74 recommendations made by the inquiry, the government has agreed, or agreed in principle, to 65 of those recommendations and noted 9.

"We know there is more work to be done across the public maternity system and are committed to improving our maternity services to meet the needs of families in the ACT and our surrounding region," Health Minister Rachel Stephen-Smith said.

"We are committed to working in partnership with consumers, stakeholders and health professionals, to address the themes and recommendations outlined in the report to create an inclusive, informed and responsive public maternity system for the ACT.

The wide-ranging inquiry had also called for a focus on midwife-led care and a mandated staffing level of midwives and nurses.

The inquiry's report said safety data about Canberra's maternity wards should regularly be released, and there should be a focus on continuity of care and women's birthing choices.

The government agreed in principle.

The inquiry was launched after midwives and staff at Canberra Hospital penned an anonymous letter to the government saying patients' lives were being put at risk due to understaffing and poor management. It prompted women to come forward and share their experiences of giving birth at the hospital.