A filter malfunction determination apparatus includes a calculator that calculates, upon determination that a rapid output increase has occurred, an amount of change of a parameter value output from a sensor before and after the rapid output increase. The calculator calculates, based on the calculated amount of change, a correction value for correcting at least one of the parameter value output from the sensor and a malfunction determination threshold. The filter malfunction determination apparatus includes an offset corrector configured to perform, based on the correction value, offset correction of at least one of the parameter value output from the sensor and the malfunction determination threshold after determination that the rapid output increase has occurred.