London's police force has been assessing the allegations against Terry since they received a complaint from a member of the public after the game between the two clubs at Loftus Road in October.
Terry denied the allegations in a statement on the evening after the match in which he claimed there had been a 'misunderstanding' and he was responding to a perceived accusation from Ferdinand that he had used a racist slur.
The FA later released a statement which read: "Further to an allegation from the recent QPR versus Chelsea fixture, The Football Association has been formally investigating the matter.
"The Metropolitan Police has contacted The FA to make us further aware of their investigation into the matter. Due to this it would be inappropriate for The FA to comment until the Police have completed their own enquiries.
"Therefore, The FA will make no further comment at this time.''
The QPR defender released his own statement on Monday, saying he has "very strong feelings" on the matter but does not wish to prejudice the Football Association inquiry.
Ferdinand has now submitted his version of events to the FA but is declining to make public his opinion until the investigation is completed.
In a statement on the club's official website, Ferdinand said: "Today (Monday 31st October 2011) I finalised my statement with the Football Association with regards to the incident that occurred last Sunday at Loftus Road in our Barclays Premier League fixture against Chelsea.
"I have very strong feelings on the matter, but in the interests of fairness and not wishing to prejudice what I am sure will be a very thorough inquiry by the FA, this will be my last comment on the subject until the inquiry is concluded.
"I would like to thank the club, Tony Fernandes, Amit Bhatia, Neil Warnock, the supporters and my fellow professionals for their unwavering support."