The Greens are also calling for the number of women murdered in domestic violence incidents to be reported, similar to the road toll.

The call for greater visibility of the tragic toll of family violence comes in the wake of the death of a Brisbane mother and her three young children earlier this week.

ACT Policing reports on homicides, but doesn't specify if it is family violence-related. There is no publicly-accessible data on the number of woman who report to government or non-government services that they fear for their safety.

Greens crossbencher Caroline Le Couteur said publishing the data would "honour" the victims and provide greater publicity and awareness of the problem.

"If we want to address this issue, we have to know how big it is," she said.

"It's like with anything, what you number and what you measure - you do something about. We measure road deaths and worksite deaths. We do think this would help visibility and the likelihood of positive action."

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The government's community safety directorate could be responsible for pulling together and publishing the data, she suggested.

The ACT government overhauled laws and boosted funding to tackle family violence in the wake of a string of deaths in 2015, including the murder of Canberra mother Tara Costigan.

ACT Minister for the Prevention of Domestic and Family Violence Yvette Berry did not comment directly on Ms Le Couteur's proposal, instead highlighting a number of other sources of data on family violence, including the Australian Bureau of Statistics' Personal Safety Survey.

The Australian Institute of Health and Welfare also reported regularly on the prevalence of family and sexual violence, Ms Berry said.

She said the ACT government was rolling out frontline worker training for 21,000 public servants on how to identify and respond to domestic violence.

The government has also committed to implementing a domestic violence death review model, which is designed to reduce the chance of similar deaths occurring in the future.