The actor died on Friday night after a "short but brave battle with leukemia," his family said in a statement posted to West's Facebook page.
West catapulted to fame after portraying the superhero Batman and his alter ego, Bruce Wayne, on the popular campy television series that premiered in 1966.
But the high-profile role ultimately restricted West from playing different characters later on.
West is survived by his wife Marcelle, six children, five grandchildren and two great-grandchildren.
"There are no words to describe how much we'll miss him," the family said in its statement. "We know you'll miss him too and we want you to know how much your love and support meant to him throughout the years."