1138 GMT November 22, 2019
The Socialist government has made it a priority to move the remains from a state mausoleum to a less controversial site, BBC reported.
Franco's family has appealed against the exhumation.
The issue has divided opinion in Spain, which remains haunted by the Franco era. He won the 1930s civil war and went on to rule Spain until 1975.
He lies in a huge mausoleum near the capital Madrid, called the Valley of the Fallen, alongside tens of thousands of civil war dead.
Many revile the complex as a monument to the triumph of fascism, and it has become a shrine for the far right.
The government approved the exhumation in August. It plans to rebury Franco next to his wife in the El Pardo cemetery north of Madrid where various other politicians are interred.
Many descendants of Franco's victims support the move.
"The idea that people who were killed by Franco's troops are buried together with Franco, it's very absurd, and they're still glorifying him as if he was the savior of Spain," Silvia Navarro, whose great uncle died in 1936, told the BBC.
But the family, who would rather he was not moved at all, want him to lie in a family crypt in the Almudena Cathedral — right in the center of the capital.
"We will continue our legal battle to the end so Franco stays [in the Valley of the Fallen]," said Francisco Franco Foundation spokesman Juan Chicharro, quoted by AFP.
The government said the former dictator should not be placed anywhere where he could be glorified.
The controversy comes at a time of political crisis in Spain, as the country prepares for its fourth general election in four years, on November 10.
Dealing with Franco era
Unlike in Mussolini's Italy and Nazi Germany, defeated in World War Two, Spain's transition to democracy in 1975 was more gradual.
Though democracy is well established now, many believe the country has never faced up to its fascist past.
There was an unwritten "pact of forgetting" during the transition.
An Amnesty Law adopted in 1977 prevents any criminal investigation into the Franco years.
Statues of Franco were removed and many streets were renamed, to erase obvious signs of the fascist past.
A Historical Memory Law, passed in 2007 by the socialist government at the time, recognized the war victims on both sides and provided some help for surviving victims of Franco's dictatorship and their families.
But the work to locate and rebury thousands of civil war dead has been slow and controversial.
More than 100,000 victims of the conflict, and the ferocious repression carried out afterwards, are still missing.