A control apparatus for a series-connected multi-level matrix converter includes each voltage commanding device provided for each of single-phase matrix converters to generate a voltage reference to each of the single-phase matrix converters. The series-connected multi-level matrix converter includes the single-phase matrix converters. Each of the single-phase matrix converters includes a snubber circuit and a DC voltage detecting section configured to detect a DC voltage of the snubber circuit to output a DC voltage detection value. ADC over-voltage detector is configured to output a DC over-voltage signal when the DC voltage detection value exceeds a set voltage value. A voltage modifying device is, when the DC over-voltage signal is outputted, configured to decrease the voltage reference to a corresponding single-phase matrix converter among the single-phase matrix converters based on a deviation between the DC voltage detection value and the set voltage value.