He was fist diagnosed with Lymphoma in 1995 but had been in remission for a long spell, TMZ reported.
Max was best known for playing Willie Tanner – the father in the hit NBC puppet show about an “alien life form” or ALF.
He was also a veteran actor of several other shows such as Buffalo Bill and Cheers.
Max also played roles for the big screen – appearing in major movies like Reds, All That Jazz, The Sting II, Soul Man and The Shadow.
He had more than 60 film and TV credits to his name in a career spanning five decades from 1974.
Dad-of-two Max’s wife of 52 years Linda Ybarrondo died from beast cancer in 2017.