In a rotary electrical machine control apparatus, a selection section selects a relay current limiting value or a coil current limiting value depending on whether a plurality of systems are operated or one or more but not all of the plurality of systems are operated. The system is a combination of a winding set, an inverter, and a power supply relay, which correspond to each other. The relay current limiting value is a current limiting value calculated based on the temperature of the power supply relay. The coil current limiting value is a current limiting value calculated based on the temperature of a choke coil.