Another added: "Thank God, I don't know you personally but have loved you for years, love your movies."
While a third relieved fan echoed the thoughts of many, writing: "Omg for a moment I thought this was true!!!"
The actor's brother Frank previously took to Twitter in the wake of the sickening claim, writing: "Rumors that my brother is dead are false. What kind of sick demented cruel mind thinks of things like this to post? People like this are mentally deranged and don't deserve a place in society".
He also posted a video entitled "Sly death a total hoax, not funny not cool" and said "I made this video to dispel the rumours that my brother Sylvester is dead. That is so ridiculous, demented.
"These are people that menace the society. They are useless in society. So Stallone power goes on."
One concerned fan wrote: "Is Sylvester Stallone dead or is Facebook lying again?" while another added "Okay but I just need to know did Sylvester Stallone really die???"
A furious fan debunked the rumour and said: "So the sick hoaxes have started again!! Silvester Stallone is NOT dead!"
Another fan wrote: "Rocky is alive and well! Stop the nonsense!" while another said: "DO NOT SPREAD RUMOR about Sylvester Stallone. Long Live @TheSlyStallone."
Another wrote: "Omg I thought Sylvester Stallone was dead!! I hate the Internet."
This is the second death hoax involving the actor.
Fans were left baffled back in September 2016 after a fake news story - allegedly from US news site CNN and claiming the Rocky actor had been found dead at his LA home - was being shared on Facebook.
It was later exposed as a sick hoax linked to a website known for sharing celebrity death hoaxes.
MailOnline has contacted Sylvester's representatives for comment.
He is best known for his portrayal of Philadelphia underdog boxer Rocky 'The Italian Stallion' Balboa in the film series which has won him two Oscar nominations.
In 2015, Stallone reprised his role as Rocky Balboa for spin-off and sequel to the Rocky film series Creed, telling the tale of his late mentor Apollo Creed's son Adonisa character who abandons his stable white collar job to pursue a boxing career under Rocky's tutelage.
The star has been keeping his fans updated with his work on the hotly-anticipated sequel Creed II, with Dolph Lungren set to reprise his Rocky IV role as fearsome Russian boxer Ivan Drago.
On Valentines Day he shared a snap of himself pumping iron in the gym captioned: "Pushing the limits! 100 pounds - This one hurt, I think I'll go home and take a nap…"
