The large detached bungalow in Lake Hayes Estate will be auctioned on April 20.
It is more than a year since 64-year-old Mr Beckenridge disappeared with his 11-year-old stepson, Mike Zhao-Beckenridge.
Mr Beckenridge picked Mike up from Invercargill's James Hargest College at lunchtime on March 13, 2015, breaking a Family Court parenting order.
Eight days later, Mr Beckenridge's car was found at the bottom an 88m cliff near Curio Bay.
There was no sign of the pair.
Police say a criminal investigation is ongoing.
Mike lived with his stepfather in the Queenstown house for about a year before Mr Beckenridge lost a custody battle.
He then moved in with his mother in Invercargill.
The 271sq m three-bedroom house, on a 3064sq m section in Crawford Pl, has been unoccupied since the pair went missing.
It has a rateable value of $700,000 but is likely to sell for more than that in Queenstown's buoyant property market.
It is owned by the Ozprey Trust, of which Mr Beckenridge and his friend Ulf Roger Henricson are trustees.
Last year, Ms Lu sought a High Court order to protect her son's potential interests in the property after receiving correspondence from Mr Henricson's lawyers stating Mike had been excluded as a beneficiary.
The Public Trust, which is selling the property, was appointed to represent Mr Beckenridge in his capacity as a trustee.
It is understood the mortgage was in arrears at the time.
The court judgement, of Associate Judge Robert Osborne, also said Ms Lu was making a claim in the Family Court against the trust, through the Property (Relationships) Act 1976.
The dispute over who gets the proceeds from the sale is unlikely to be settled until a coroner rules on the case.
Last month, police said they were still pursuing leads in the criminal investigation and would not hand over the file to a coroner until all inquiries were exhausted.
