Personal life
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Randall was married to Florence Gibbs from 1942 until her death from cancer in 1992. The following year, he said, "I wish I believed I'd see my parents again, see my wife again. But I know it's not going to happen." (Washington Post, September 25, 2003) He remarried on 17 November 1995 to Heather Harlan, an intern in one of his theatrical programs. At the time, Tony was 75, Heather 25. The couple subsequently had two children, Julia Laurette Randall (b. 1997) and Jefferson Salvini Randall (b. 1998), and they remained married until his death in 2004.
In his book Which Reminds Me, he proclaimed that any publicity an actor generates should be about his work, not himself. "The public knows only one thing about me: I don't smoke," he proclaimed. But by 1995, he revised his opinion, and made his engagement and marriage to Harlan, and subsequent fatherhood, quite public. For the most part, the media treated the marriage in a light-hearted spirit, but when children entered the picture, not everyone was convinced the couple was completely forthright. Randall was a doting and loving father, Heather would later recount, who faced death bravely, and felt great sorrow to leave his children behind.
Randall died in his sleep at NYU Medical Center of complications from pneumonia he contracted following bypass surgery in December 2003. He is interred at the Westchester Hills Cemetery in Hastings-on-Hudson, New York