A blast furnace fault determination apparatus comprising: a fault index calculation unit (12, 22) configured to calculate a fault index indicative of a degree of fault in a blast furnace; a ventilation index calculation unit configured to calculate a ventilation index of the blast furnace; and a determination unit configured to determine a fault condition in the blast furnace using the fault index calculated by the fault index calculation unit (12, 22) and the ventilation index calculated by the ventilation index calculation unit, wherein the fault index is a Q statistic based on principal component analysis, wherein the fault index calculation unit (12, 22) is configured to calculate the fault index using an output value of a shaft-pressure sensor group installed around a furnace body of the blast furnace, wherein the blast furnace fault determination apparatus comprises: a sensor fault identification unit configured to evaluate a degree of attribution on the Q statistic and identify a faulty sensor based on the degree of attribution in a case where the ventilation index does not exceed a first predetermined threshold and the Q statistic exceeds a second predetermined threshold, and a faulty sensor removal unit configured to continue a fault determination by removing a signal value of a sensor identified as a faulty sensor by the sensor fault identification unit based on calculation of the Q statistic and calculating a new Q statistic, wherein operation of the blast furnace is determined to be in a fault condition in a case where the Q statistic exceeds the second predetermined threshold and the ventilation index exceeds the first predetermined threshold, wherein the ventilation index is calculated by following expression, and a parameter X in the expression is a numerical value adjusted to allow an amount of gas generation in the blast furnace and the ventilation index to be expressed in a substantially linear relation for a change in the amount of gas generation in the blast furnace, Ventilation index = Furnace pressure value A 2 − Furnace pressure value B 2 Amount of gas generation in blast furnace 1. X. a fault index calculation unit (12, 22) configured to calculate a fault index indicative of a degree of fault in a blast furnace; a ventilation index calculation unit configured to calculate a ventilation index of the blast furnace; and a determination unit configured to determine a fault condition in the blast furnace using the fault index calculated by the fault index calculation unit (12, 22) and the ventilation index calculated by the ventilation index calculation unit, wherein the fault index is a Q statistic based on principal component analysis, wherein the fault index calculation unit (12, 22) is configured to calculate the fault index using an output value of a shaft-pressure sensor group installed around a furnace body of the blast furnace, wherein the blast furnace fault determination apparatus comprises: a sensor fault identification unit configured to evaluate a degree of attribution on the Q statistic and identify a faulty sensor based on the degree of attribution in a case where the ventilation index does not exceed a first predetermined threshold and the Q statistic exceeds a second predetermined threshold, and a faulty sensor removal unit configured to continue a fault determination by removing a signal value of a sensor identified as a faulty sensor by the sensor fault identification unit based on calculation of the Q statistic and calculating a new Q statistic, wherein operation of the blast furnace is determined to be in a fault condition in a case where the Q statistic exceeds the second predetermined threshold and the ventilation index exceeds the first predetermined threshold, wherein the ventilation index is calculated by following expression, and a parameter X in the expression is a numerical value adjusted to allow an amount of gas generation in the blast furnace and the ventilation index to be expressed in a substantially linear relation for a change in the amount of gas generation in the blast furnace, Ventilation index = Furnace pressure value A 2 − Furnace pressure value B 2 Amount of gas generation in blast furnace 1. X. a sensor fault identification unit configured to evaluate a degree of attribution on the Q statistic and identify a faulty sensor based on the degree of attribution in a case where the ventilation index does not exceed a first predetermined threshold and the Q statistic exceeds a second predetermined threshold, and a faulty sensor removal unit configured to continue a fault determination by removing a signal value of a sensor identified as a faulty sensor by the sensor fault identification unit based on calculation of the Q statistic and calculating a new Q statistic, wherein operation of the blast furnace is determined to be in a fault condition in a case where the Q statistic exceeds the second predetermined threshold and the ventilation index exceeds the first predetermined threshold, wherein the ventilation index is calculated by following expression, and a parameter X in the expression is a numerical value adjusted to allow an amount of gas generation in the blast furnace and the ventilation index to be expressed in a substantially linear relation for a change in the amount of gas generation in the blast furnace, Ventilation index = Furnace pressure value A 2 − Furnace pressure value B 2 Amount of gas generation in blast furnace 1. X.