A control apparatus for an AC-AC direct converter. The control apparatus includes a calculator providing a phase command .theta.* of an output voltage of the converter, a calculator providing a q-axis current i.sub.q by using output currents i.sub.u and i.sub.w and the phase command .theta.*, a detector detecting a pulsation component contained in the q-axis current i.sub.q, a calculator providing a phase correction magnitude .theta..sub.cmp so as to decrease the pulsation component, and an adder/subtractor correcting the phase command .theta.* by using the correction magnitude .theta..sub.cmp. 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.