"I know what I want on J.R.'s tombstone," Hagman said in 1988. "It should say: 'Here lies upright citizen J.R. Ewing. This is the only deal he ever lost.'"
On Friday night, Victoria Principal, who co-starred in the original series, recalled Hagman as "bigger than life, on-screen and off. He is unforgettable, and irreplaceable, to millions of fans around the world, and in the hearts of each of us, who was lucky enough to know and love him."
Ten episodes of the new edition of "Dallas" aired this past summer and proved a hit for TNT. Filming was in progress on the sixth episode of season two, which is set to begin airing Jan. 28, the network said.
There was no immediate comment from Warner or TNT on how the series would deal with Hagman's loss.
In 2006, he did a guest shot on FX's drama series "Nip/Tuck," playing a macho business mogul. He also got new exposure in recent years with the DVD releases of "I Dream of Jeannie" and "Dallas."
The Fort Worth, Texas, native was the son of singer-actress Mary Martin, who starred in such classics as "South Pacific" and "Peter Pan." Martin was still in her teens when he was born in 1931 during her marriage to attorney Ben Hagman.
As a youngster, Hagman gained a reputation for mischief-making as he was bumped from one private school to another. He made a stab at New York theater in the early 1950s, then served in the Air Force from 1952-56 in England.
While there, he met and married young Swedish designer Maj Axelsson. The couple had two children, Preston and Heidi, and were longtime residents of the Malibu beach colony that is home to many celebrities.