Premier Daniel Andrews has asked Prime Minister Scott Morrison to quickly release secret sections of a report on the historical conduct of Cardinal George Pell, in the wake of the senior Catholic's acquittal on child sex abuse charges.

The Premier telephoned Mr Morrison on Tuesday night, just hours after the High Court’s decision to quash the cardinal’s conviction and release him from jail, to ask for publication of sections of the report of the Royal Commission into Institutional Responses to Child Sexual Abuse.

Daniel Andrews called Scott Morrison to ask for the redacted royal commission documents on George Pell to be released. Credit:Justin McManus

The sections relate to Cardinal Pell's handling of allegations of sexual abuse against priests earlier in his career and were left unpublished when the commission reported in September 2017 to avoid prejudice to any of his trials or appeals.

Victorian prosecutors have told the federal government that there are no current or future court cases that might be prejudiced by the full publication of the report but federal Attorney-General Christian Porter says it may be weeks before the material can be made public.