"It relates to language and/or behaviour amounting to improper conduct following his side's game at Manchester City on 17 November 2012," the FA said on its website on Wednesday.
"Lambert accepted the standard penalty for the charge and will now serve a one-match touchline ban to commence with immediate effect."
Aston Villa, who are 18th in the Premier League with nine points from 12 games, host Arsenal on Saturday.
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