The charges relate to Argentinian midfielder Alejandro Faurlin, who signed for Rangers for a club-record fee believed to be in the region of ?3.5million in 2009.
The club have been charged with agreeing a deal with a third party for the player's economic rights and allegedly failing to notify the FA of the arrangement before registering Faurlin.
Rangers are also alleged to have used or sought to pay an unauthorised agent in relation to Faurlin's registration in July 2009.
Furthermore, club official Gianni Paladini has been charged, along with Rangers, over documents alleged to be false which were sent to the FA when the 24-year-old extended his contract at Loftus Road in October last year.
In a statement on their official website, the club acknowledged the charges received by themselves and Paladini but denied any wrongdoing.
Source: PA
Source: PA