Lampard was sent off during Derby's Championship defeat to Rotherham United on Saturday, the first time the former England midfielder has been dismissed since taking his maiden managerial job.
The former England international accepted the charge and the FA confirmed a "standard penalty" had been handed out to Lampard, who left his technical area during the game.
Speaking ahead of Derby's Championship game against Blackburn Rovers, Lampard called for consistency in the way managers are punished.