Tasmania Police has confirmed former state parliamentarian Rene Hidding will not be charged in relation to historic sex offences.
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A woman in February claimed in the media she had been sexually abused by the 66-year-old as a teenager over a six-month period when she was living with him and his wife over a six-month period 40 years ago.
Mr Hidding strenuously denied the allegations and said it was a malicious attack which was based on a dispute between the woman and his family.
Police in a statement on Monday said no charges would be laid.
"Advice was sought from the DPP who reviewed the available evidence and determined that given the constraints posed by the passage of time and the resulting impact on the evidence available, there was no reasonable prospect of conviction," they said.
Mr Hidding has been contacted for comment.