Kovacs was killed in a car accident in Los Angeles during the early morning hours of January 13, 1962. Kovacs, who had worked for much of the evening, met Adams at a baby shower given by Billy Wilder for Milton Berle and his wife, who had recently adopted a newborn baby boy. The couple left the party in separate cars. After a light southern California rainstorm, Kovacs lost control of his Chevrolet Corvair station wagon while turning quickly, and crashed into a power pole at the corner of Beverly Glen and Santa Monica Boulevards. He was thrown halfway out the passenger side, and died almost instantly from chest and head injuries.  A photographer managed to arrive moments later, and graphic images of Kovacs's dead body appeared in newspapers across the United States. An unlit cigar lay on the pavement, inches from his outstretched arm. Years later, in a documentary about Kovacs, Edie Adams described telephoning the police impatiently when she learned of the crash. An official cupped his hand over the receiver, saying to a colleague, "It's Mrs. Kovacs, he's on his way to the coroner - what should I tell her?" With that, Adams's fears were confirmed, and she became inconsolable. Jack Lemmon, who also attended the Berle party, identified Kovacs's body at the morgue because Adams was too distraught to do so.  After attending funerals for Hollywood friends, Kovacs had expressed his wishes to Adams that any funeral services for him be kept simple. In keeping with his request, Adams made arrangements for Presbyterian services at the Beverly Hills Community Presbyterian Church. The active pallbearers were Jack Lemmon, Frank Sinatra, Dean Martin, Billy Wilder, Mervyn LeRoy, and Joe Mikolas. Kovacs's father and brother, Andrew and Tom, respectively, served as honorary pallbearers. The attendees included George Burns, Groucho Marx, Edward G. Robinson, Kirk Douglas, Jack Benny, James Stewart, Charlton Heston, Buster Keaton and Milton Berle. There was no typical Hollywood-type eulogy, but the church's pastor paid tribute to Kovacs, adding that he once summed up his life in two sentences: "I was born in Trenton, New Jersey in 1919 to a Hungarian couple. I've been smoking cigars ever since."  Kovacs is buried in Forest Lawn-Hollywood Hills Cemetery in Los Angeles. His epitaph reads, "Nothing in moderation--We all loved him." Only one of Kovacs's three children survives: his eldest, Elizabeth, from his first marriage. Kippie, his second daughter, died on July 28, 2001 at the age of 52, after a long illness and a lifetime of poor health. Kippie and her husband, Bill Lancaster (1947-1997), a screenwriter and the son of actor Burt Lancaster, are the parents of Kovacs's only grandchild, Keigh Lancaster. His only child with Edie Adams, Mia (1959-1982), was killed on May 8, 1982, also in an automobile accident. Her gravestone reads "Daddy's little girl. We all loved her, too". Mia and Kippie are buried close to their father; when Edie died in 2008, she was buried between Mia and Kippie.

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