Leptos made the disclosure in what he called his 150-day report in which he listed the changes that had taken place since he was appointed the independent chair of auDA five months ago.
He did not mention names but merely said, towards the end of a fairly lengthy missive, that "I am disappointed to advise you that in my first week as Independent Chair I was briefed on a number of practices of several former auDA directors.
"Your Board concluded that those practices warranted referral to the Victoria Police. As you would appreciate, it is not appropriate at this stage to provide further details regarding this matter."
These members, for whom Jim Stewart, the chief executive of digital marketing company StewArt Media, is a spokesperson, have, in letters dated 7 April, called for a Special General Meeting to consider motions to oust Boardman and directors Leptos, Sandra Hook and Suzanne Ewart.
iTWire contacted Stewart on Thursday to find out if he was aware of any members who had been referred to the police but he said he had no knowledge of any names.
The main issue that has riled these members is the decision by auDA to effect changes in domains from .com.au to .au, a move for which auDA has produced neither a business case nor an explanation that is logical.
In his 150-day letter, Leptos only briefly referred to the move for another SGM, saying he would advise the membership further "once the logistics for the meeting have been confirmed."