The 'Grace and Frankie' star - who is the father of actors Charlie Sheen and Emilio Estevez - underwent a quadruple bypass this week but is recovering well and is expected to be home for Christmas.
Taking to his Facebook page, Emilio wrote: "Fellow Friends and Pilgrims,
"At a Los Angeles hospital this past weekend, my father Martin Sheen underwent a very successful quadruple bypass surgery. The decision to operate on his heart was a proactive one, not an emergency situation.
"With my mother Janet and our family by his side and under the coordination of his extraordinary team of cardiologists, doctors and nurses, my father displayed great courage, strength and humility as he took on this challenge.
"Not surprisingly, he is recovering beautifully, out of the ICU and is expected to not only be home for Christmas, but be 100 per cent by the time he returns to work on season three of the Netflix series, 'Grace and Frankie' early next year.
Please lift him up and keep him in your prayers."
Emilio later took to Twitter to share a picture of his 75-year-old father holding up a heart and giving a thumbs up and passed on a message of thanks from Martin.
He wrote: "Martin extends a big thumbs up and a BIGGER heart felt "THANK YOU" for all your well wishes and prayers. He wants to wish you a very Merry Christmas and sends you all a mighty blessing!"