He wrote on Facebook: "I have Terminal 4 Cancer, and their is no way of returning back from that, it's totally covering the inside of my body, and I'm totally fine and aware of my situation.
"I've gone for a no resuscitation, with that, I have a next of kin, in place and there is no way I would want them to be looking me as a vegetable.
"Chemotherapy and Radiotherapy will be discussed over the next few days, hopefully I'll be able to get back to get to you in the next few days about the outcome.
"And please, no boohooing, here, just be positive, for me it's just another life experience and hurdle, that one has to make yet another choice in life, be cool, I most definitely am and positive about the situation."
Fans and close friends of the musician have taken to Facebook to send their wishes to the late star.
Sean Dunmore wrote: "I'm sure Andy Anderson would like [his] fans and friends who he was so dedicated to and loved so much to know, that very sadly he's passed away.
"Gone to the next adventure, the next gig. Everyone has so many good memories of this kind and gentle man. He wouldn't want you to be sad but celebrate the joy in life."
Anderson joined The Cure in 1983 after original drummer Lol Tolhurst shifted to keyboards.
He also worked with a slew of notable artists including Iggy Pop, Midge Ure and Peter Gabriel.
