There was no lawyer listed for Durst on the arrest report and Durst has maintained his innocence in the deaths.
The New York Times reported last week that the district attorney in Los Angeles had recently reopened an investigation into the December 2000 killing of Durst's friend Susan Berman, and was tying it to the case of Kathleen Durst, who went missing from New York and was eventually pronounced legally dead.
The investigation could be bolstered by new evidence shown for the first time in a six-part HBO documentary series about Durst called "The Jinx: The Life and Deaths of Robert Durst," the New York Times said.
In a telephone interview with the newspaper, Durst said he did not have the "faintest idea" who killed Berman, nor did he know what happened to his first wife, it reported.
In a separate case, after being arrested while living in Texas disguised as a mute woman, Durst was acquitted of murder in 2001 after convincing a jury that he had fatally shot and dismembered an elderly neighbor in an act of self-defense.
The Durst Organization oversees the lease and maintenance of One World Trade Center, the western hemisphere's tallest skyscraper, built on the site of the twin towers destroyed in al Qaeda's hijacked airliner attack on Sept. 11, 2001.
His life also inspired the 2010 Hollywood movie "All Good Things."
In December 2014, Durst appeared in a New York courtroom on charges of trespassing on property owned by his estranged family.
The Durst Organization is responsible for a good portion of the city's skyline - the company says it owns 11 Manhattan office towers.
Robert Durst, who has lived in Texas after getting about $65 million from the settlement of a lawsuit he brought against family trusts, was charged in 2014 with urinating on a drugstore candy rack in Houston.