An order giving the owner 30 days' notice of demolition was sent by Patong's chief engineer, Surapol Buakaew, soon after the tragedy.
The owner could choose to fight the demolition order in court, a spokesman told Phuketwan today.
But the property is more likely to be made over for some other purpose after being used without registration or insurance as World Bungee Jump for more than a decade.
Demolition of the bungy is likely either under the official order or as part of whatever the future of the land might hold.
Patong Mayor Chalermlak Kebsub ordered the bungy closed after Kuwaiti tourist Abdullah Adel Kadhmbahman, 25, from Kuwait, broke free from leg restraints and crashed to earth rather than into a safety pond on May 27.
Police are expected to lay serious charges over the fatality.
Investigating officer Major Teerasak Boonsaeng said today he would await the results of forensic tests on the bungy cord and its restraints now being carried out in Bangkok.