Linda Gray, a long-time friend who starred alongside him in the TV show, called him her "best friend for 35 years", her agent told the BBC.
"Larry was back in his beloved Dallas re-enacting the iconic role he loved most," his family said in a statement carried by the Dallas Morning News.
"Larry's family and close friends had joined him in Dallas for the Thanksgiving holiday. When he passed, he was surrounded by loved ones. It was a peaceful passing, just as he had wished for. The family requests privacy at this time."
More top news
Dramatic dashcam footage captured the moment a four-year-old girl was left seriously injured after falling out the back of a bus.
Tony Kim, who taught accounting at Pyongyang University of Science and Technology, was detained as he tried to leave the country.
Southern England will start dry and bright, and sunnier, colder weather will arrive in the north later in the day.