A control apparatus for an AC-AC direct converter. The control apparatus includes a calculator providing a phase command θ* of an output voltage of the converter, a calculator providing a q-axis current iq by using output currents iu and iw and the phase command θ*, a detector detecting a pulsation component contained in the q-axis current iq, a calculator providing a phase correction magnitude θcmp so as to decrease the pulsation component, and an adder/subtractor correcting the phase command θ* by using the correction magnitude θcmp. This apparatus can decrease the output voltage distortion and low frequency torque pulsation and can suppress the increase of an output current without weakening a magnetic flux, even when the converter is operated in an overmodulation region.