Eugenios and Hilda Marcel were embalmed after they died in Edinburgh in the late 80s and early 90s.
Their son Melvyn Marcel had opposed their burial and wanted to build a private mausoleum for his parents in the grounds of his property.
However, the Edinburgh Council won a legal battle to arrange their funeral.
The couple were buried during a ceremony at Craigmillar Castle Park Cemetery today in front of a handful of people, the BBC reported.
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The couple's bodies were discovered in the basement of a former fishmonger's shop in the city's Gilmore Place in 2002, during an investigation into alleged fraud at a funeral home in West Lothian.
It was claimed that staff at the Broxburn undertakers had been paid to preserve the remains, the report said.
Four employees were sacked, although none of those alleged to have been involved in the fraud were charged or prosecuted for any offence.
Following the discovery, the couple's remains were taken to the city's Cowgate mortuary.
In February, a judge ruled that Edinburgh City Council had the legal authority to bury the bodies of the couple.
Marcel appealed against that decision, but it was upheld by appeal court judges, the report said.