A power control apparatus has a peak cut prediction unit that predicts a period of time to impose a restriction on power supply from a power system to a consumer based on a predetermined condition, a threshold setting unit that sets a predetermined threshold such that a power supply amount from the power system to the consumer does not exceed the threshold in the period of time predicted by the peak cut prediction unit, and a charge/discharge control command unit that stops power supply from the power system to the consumer and causes a power storage device to be discharged by an amount of demand power exceeding the threshold when demand power of the consumer reaches the threshold in the period of time predicted by the peak cut prediction unit.