Mr Kelly has used his page,which has more than 80,000 followers,to promote treatments for COVID-19 at odds with official government and medical advice.
He confirmed Facebook had suspended him from posting on the platform for seven days for repeated violations of its community standards.
“They blocked me for posting for seven days,I believe for completely spurious reasons,” Mr Kelly said.
“If an elected member of Parliament can’t post about expert medical opinion,I think it’s a very sad day for freedom of speech.”
In a statement,a Facebook spokeswoman said:“We don’t allow anyone to share misinformation about COVID-19 that could lead to imminent physical harm. We have clear policies against this type of content and will remove it when we become aware of it.”
Mr Kelly said his suspension, first reported by technology website Gizmodo,was due to expire on Wednesday and he was appealing for the reinstatement of the deleted posts.