The actress' children shared the news on her social media account.
EW has confirmed news of her death.
As iconic as she was on screen, she was an even more amazing mother and grandmother."

Ted Danson and Kirstie Alley on ‘Cheers’.NBC/Everett
For the part, Alley received five Emmy nominations, winning once in 1991.
More recently, she starred in the 2013 filmSyrupand the 2015 David O. Russell filmAccidental Love.
Alley was born January 12, 1951 in Wichita, Kansas.

Kirstie Alley.Eric McCandless/ABC via Getty
She leaves behind her children True and Lillie, and grandson Waylon.