It comes after the Bank of England also urged X users to report the ads, where seen.
“Unfortunately, fake adverts impersonating the Bank of England and other central banks are on the rise,” said Governor Andrew Bailey in a statement.
“These scams are designed to criminally exploit the public, especially the vulnerable, when they are online.”
He urged the public to stay vigilant and “report these scams”.
“That way authorities can better root out digital deception like this and permanently remove the fraudsters responsible for what is a truly online scourge.”
The ads have repeatedly appeared to users on X in recent days, and show the two men arguing or fighting.
Some of the promoted posts falsely depict Farage kicking, grabbing and lunging after Bailey on BBC Question Time, with some imagery also displaying bruising on their faces.