But this model relies on women knowing they are eligible for free breast screening and making an appointment themselves.
Associate Health Minister Ayesha Verrall said the current "ageing" IT system put this whole programme at risk.
"It lacks the flexibility to be easily upgraded to meet the needs of the community, and is no longer supported well by vendors."
The national breast screening programme, Breast Screen Aotearoa (BSA), provides free mammography screening every two years to women aged 45 to 69 who have no symptoms of breast cancer.
The Government will spend $55.6m on a major technology upgrade, which will better equip the system to identify women who are not currently being screened.
Verrall said about 271,000 women were in this category.
The new system will directly invite those women who would have otherwise missed out by running targeted campaigns.
It will mean when women are offered an appointment, they can choose to participate or ask to opt out.
"With more Māori and Pacific women dying from breast cancer compared with non-Māori and non-Pacific women, the new system will allow BSA to identify priority group women who may not already be part of the programme."
Each year in New Zealand, about 3200 people are diagnosed with breast cancer and about 600 die from breast cancer.
In addition to the $55m in upgrading the IT system, Verrall announced a further $10m to be spent on catching up on providing those who missed their screenings because of Covid-19 lockdowns with a free scan.