The fax, dated from 1990, said: “good morning” and was signed with kisses and a heart.
The sale also included annotated lyrics, sketches and T-shirts. It has been criticised by their mother Patricia Glassop, who has reportedly disowned him over the eBay sales.
Hutchence was found hung in a Sydney hotel room in November 1997.
In an eBay post Rhett Hutchence said he felt “weird” wearing the band’s merchandise, adding: “They have to earn their keep somehow, as they have been in storage, like everything else, for the past 10-20 years.”
He also implied that he had a more salacious fax. He said: “I have a similar, yet raunchier fax that I will keep.”
Items ranging from trousers to a bank deposit cheque have gone for sums as high as £402 (Aus $1,000), reports BBC News.