Provided is an inverter apparatus capable of preventing occurrence of overcurrent in an AC motor and stably controlling driving of the AC motor. The inverter apparatus controlling the AC motor included in an electric compressor includes a shunt resistor for detecting current flowing in the AC motor, and a limit value control unit controlling a current limit value for a detected current detected at the shunt resistor. The limit value control unit determines whether the number of times the detected current becomes equal to or more than the first threshold within a first predetermined time is equal to or more than a first number of times. The limit value control unit decreases the current limit value when the number of times the detected current becomes equal to or more than the first threshold within the first predetermined time is equal to or more than the first number of times.