A processing machine for processing sheets comprises at least one application unit and at least one sheet sensor associated with that application unit. The at least one sheet sensor is arranged upstream of the associated application unit, along a transport path for sheets. The at least one sheet sensor is configured to detect the arrival time of sheets as the position of the sheet sensor. The at least one application unit, in each case, comprises at least one printing couple having a forme cylinder and an individual drive which is associated to that forme cylinder. The at least one sheet sensor is configured to control the position or the rotational speed of the forme cylinder in one of a closed loop or an open loop. The invention also relates to a method for processing sheets.