An apparatus for controlling auxiliary equipment driven by an internal combustion engine, which can suppress the deterioration of a specific fuel consumption by controlling the auxiliary equipment based on running environment information provided from a car navigation system or the like. Namely, this apparatus predicts the future maximum output of the internal combustion engine and a running load thereof according to running environment information and vehicle information. Further, if the maximum output is larger than the running load, the auxiliary equipment (for example, a light and an air conditioner) are directly driven by the internal combustion engine. Moreover, surplus energy is stored in an energy storing device. When the maximum output is nearly equal to the running load and that the specific fuel consumption is deteriorated when driving the auxiliary equipments, they are driven by using the energy stored in the energy storing device. Consequently, the deterioration of the fuel consumption ratio due to the operations of the accessories is suppressed.