Some families of those killed in the 1979 Luna Park Ghost Train fire have been handed a redacted copy of a police review of the incident, as they continue their push for a fresh coronial inquest.

Six boys and a man died when the popular amusement park ride was engulfed in flames 45 years ago.

A coronial inquest, held that same year, found the cause of the fire could not be determined.

There was broad support from family members of those killed, as well as state politicians, for a fresh inquiry after a three-part investigative documentary series aired on the ABC in 2021.

An application for a new coronial inquest was made to the state coroner that year.

In response to a request from state coroner Teresa O'Sullivan, NSW police's Unsolved Homicide Team established Strike Force Sedgeman to review all evidence concerning the cause and origin of the fire and the circumstances of the seven deaths.

That review, the coroner heard on Tuesday, has been completed but is subject to a string of redactions.

"At the moment, the ACIC [Australian Criminal Intelligence Commission] has begun the process of possible amendments to the non-publication directions," counsel assisting the coroner Rob Ranken said.

"These processes have been taking some time, [but] we have reached a point where there is a form of the report that can be disclosed without breaching the non-publication directions."

A redacted version of the report was tendered to the coroner and released to the family members behind the application, as well as the legal representatives of other interested parties – such as the NSW Police Force, ACIC and counsel assisting the coroner.

Magistrate O'Sullivan ordered the report could not be released to the public or media.

"Your Honour is yet to determine the application and it may be subject to change or refinement by the applicant, on review of this material," Mr Ranken said.

The case will return to court on October 28.