A control apparatus for an ignition system of an internal combustion engine which can appropriately judge deterioration of a spark plug is disclosed. The ignition system includes a spark plug and a Zener diode. These are connected in parallel. In the ignition system, a constant-voltage path whose one of two ends is grounded is connected to the connecting path which connects the center electrode of the spark plug to a secondary coil. The constant-voltage path includes a Zener diode and a resistor. In a case where electric current is detected at the resister in a term from the start of current supply to a primary coil to the end, the control apparatus judges the spark plug being deteriorated.