The Parkhead captain sparked ugly scenes at the end of the Old Firm clash on Sunday for a pointed celebration to Rangers fans with Andy Halliday taking particular umbrage at his gestures.
The charges were brought against him for not acting “in the best interests of Association Football” and could face a ban.
Celtic issued a brief statement stating that they will “vigorously” defend their captain and have until 10 April to respond with a hearing scheduled to take place next month.
A video shows why the SFA have brought the charges against Brown.
The 33-year-old stood with arms aloft in front of the Rangers support before appearing to give what can best be described as a ‘get it up you’ gesture as he made his way up the touchline.