The social media company announced the ban as it tries to clamp down on misinformation as the November election draws near.
The move against QAnon at Facebook and its image-sharing platform Instagram comes as the Big Tech company works to avoid being taken advantage of in deceiving or confusing voters.
This had happened during the 2016 US presidential election that catapulted President Donald Trump into the White House seat.
"We will remove any Facebook Pages, Groups and Instagram accounts representing QAnon, even if they contain no violent content," the internet titan said in a blog post.
From an anonymous 2017 posting claiming bizarre child exploitation and political plots, the headless and bodiless movement has earned a place in Trump's Twitter stream.
The FBI last year said in a report that QAnon was one of several movements that could drive "both groups and individual extremists to carry out criminal or violent acts".
The ban on the conspiracy group's accounts steps up Facebook's efforts to clamp down on misinformation campaigns sometimes endorsed by President Trump, weeks ahead of the US presidential election on November 3.