The duo went on to thank the “incredible team of doctors and nurses at the Moffitt Cancer Center for their care”.
“Our mother's zest and passion for life, her children, grandchildren and her many animals, not to mention her eternal joy of creating, were unparalleled and leave us inspired to live life to the fullest just as she did,” they said.
Alley's breakout role came as Rebecca Howe in the NBC sitcom Cheers, which she starred in from 1987 until 1993, and for which she received an Emmy and a Golden Globe award in 1991.
She won her second Emmy in 1994 for the television film David's Mother. Alley also starred alongside John Travolta in the 1989 comedy film Look Who's Talking and its two sequels.
“Kirstie was one of the most special relationships I’ve ever had,” Travolta said on Instagram alongside a photo of the actress in a white dress. “I love you Kirstie. I know we will see each other again.”
Alley starred as the title character in the sitcom Veronica's Closet from 1997 to 2000, earning Golden Globe and Emmy nominations. She later competed on Dancing with the Stars and The Masked Singer.