Sunderland's Darren Bent scored in the fifth minute of stoppage time on Saturday to give the home side a 1-1 draw, provoking Wenger's wrath.
The 60-year-old Frenchman lost his cool and angrily remonstrated with match officials, furious over the time added on by referee Phil Dowd.
In a statement on its website (www.thefa.com) the FA said Wenger had been charged with "using insulting and/or abusive language and behavior amounting to improper conduct.”
Under the FA's new fast-track procedures he has until Thursday to respond to the charge.
Wenger has been offered a standard sanction of a one-match touchline ban and an 8,000 pounds ($12,500) fine should he accept the charge.
If he denies the charge the case will be heard by a regulatory commission. The fourth official had indicated a minimum of four minutes additional time on Saturday.
Bent's goal, with the last kick of the game, canceled out Cesc Fabregas's first-half effort and denied Arsenal the chance of going top of the table for at least 24 hours.
