Arsenal's next game is away to Nottingham Forest in the FA Cup third round on Sunday.
"He was also fined £40,000".
The FA have requested observations from the Arsenal manager over a few of his statements from before and after the game, as he complained about the decisions that led to penalties being awarded, described Chelsea's as "farcical" and then added "but we knew that as well".
Wenger said before the game against Chelsea: "I must say what is more frustrating for me is that it happened many times this season - at Stoke, at Watford, at Manchester City, at West Brom". He believes Hazard should have been cautioned for simulation.
In January previous year, Wenger was given a four-match touchline ban by the FA after pushing and verbally abusing fourth official Anthony Taylor, who was also referee for this week's match against Chelsea.
Responding directly to the FA charge, he said: 'Yes I have been asked [to respond] and I maintain what I said in the press conference, 100%.
"I have been in the 21 years, imagine what I've heard and seen in tunnels and dressing rooms down the years".
"I have nothing to change in that".
"I try to serve this game with honesty and integrity and when I have something to say I will say it".
"I think I've contributed a lot to give referees a great opportunity to be at their best because I've had a huge influence on whether they became professional or not".
"I'm surprised and shocked to be charged".
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