A hybrid system control apparatus is provided in which an intercooler is disposed upstream of the motor cooling radiator in a flow path of the ambient air flowing in an engine compartment, and/or is disposed such that at least a portion of the intercooler and a portion of the motor cooling radiator contact each other. The hybrid system control apparatus includes a warm-up portion that increases temperature of the boost air by controlling a load of the engine in cold start of a hybrid system such that the boost pressure from the forced air induction device is equal to or higher than a target boost pressure.