In a power conversion control apparatus incorporated in a power conversion system for converting a direct current (DC) voltage output from a converter into an alternating current (AC) using an inverter. The power conversion control apparatus includes a converter drive circuit configured to drive the converter, an inverter drive circuit, and a control electronic control unit (ECU). The inverter drive circuit operates a plurality of switching elements forming the inverter at a variably set switching speed. The control ECU outputs to the converter drive circuit an input voltage change command for changing an input voltage command for an input voltage to be output from the converter and input to the inverter. The control ECU outputs to the inverter drive circuit a drive command for driving the plurality of switching elements and a switching speed change command for changing the switching speed for the plurality of switching elements.