A coronial investigation in September found the University of Tasmania's RA Rodda Museum had kept 177 samples for teaching and research purposes between 1966 and 1991.
The remains had been collected from coronial autopsies without the knowledge or approval of families or loved ones.
Tasmania's Attorney-General Guy Barnett on Tuesday said the government would consult with impacted families so a parliamentary apology could be delivered at a date to be set.
Mr Barnett said he had written to the Director of Public Prosecutions and Tasmania Police to inform them of the coroner's report.
He acknowledged the process and initial revelations had been traumatic and devastating for families.
The health department was attempting to identify any employees who may have been involved in retaining body parts without lawful authority, he said.
A coronial probe was launched in 2016 after the museum's curator raised concerns three specimens had been kept without the consent of the coroner or families involved.
It appeared previous coroners were unaware the specimens had been distributed to the museum, coroner Simon Cooper said in his September report.
The handling of the remains was not in accordance with national standards, which were set up in 2002 but not acted upon by the Tasmanian government, he said.
It appeared now-deceased forensic pathologist Royal Cummings provided the large majority of the specimens to the museum, Mr Cooper said.
Pathologists may have actively sourced specimens from coronial autopsies and provided specimens that were originally retained for forensic purposes, he said.
The remains in question were removed from public display in 2018, before the coroner's office spent years reconciling records to determine their origin.
In January, the names of 126 people whose specimens had been identified were published online and family members were urged to come forward.
Mr Cooper said 100 specimens had been identified and disposed of in line with the wishes of families.
Their retention was offensive and out of line with community standards and it was inconceivable it had gone on for so long, he said.
The University of Tasmania has previously apologised and met with families.
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