A control apparatus for an AC motor includes an inverter, a voltage-command calculation unit calculating a vector used for giving a command to the inverter, a voltage-waveform specifying unit specifying, as a voltage waveform for operating the inverter based on the vector, a pulse pattern selected from previously stored voltage waveforms, or a voltage waveform of a PWM signal generated by a comparison between a phase voltage and a carrier wave, an amplitude-spectrum extraction unit obtaining a bus current of the inverter to extract an amplitude spectrum of a specific frequency corresponding to a resonance frequency of a circuit through which the bus current flows, and a voltage-amplitude limiting unit limiting an amplitude of the vector so that the amplitude spectrum of the specific frequency becomes less than a threshold, if the amplitude spectrum of the specific frequency correlating with the voltage waveform is the threshold or more.