The Scot will sit in the stands at Villa Park on Saturday when his side host Arsenal after being being found guilty of improper conduct in relation to comments made after the 5-0 defeat at Manchester City last weekend.
Lambert, who has also been fined £8000, was heavily critical of the match officials after the decision to award a penalty against Andreas Weimann that led to City going 2-0 ahead.
"Aston Villa manager Paul Lambert has admitted a breach of FA Rule E3," a statement on the FA's website read. "It relates to language and/or behaviour amounting to improper conduct following his side's game at Manchester City on November 17, 2012.
"Lambert accepted the standard penalty for the charge and will now serve a one-match touchline ban to commence with immediate effect. He has also been fined £8,000."