The present invention provides a cutoff valve control apparatus capable of predicting a failure of devices therein with a failure diagnosis based on an operation test when the cutoff valve control apparatus is set. The cutoff valve control apparatus includes a judging device to judge a normal state or an abnormal state of the apparatus based on a pressure characteristic of an internal pressure of a cylinder measured with a pressure sensor when an air is supplied to the cylinder of an air cylinder from an air supply source, and a memory device storing beforehand the pressure characteristic of the internal pressure of the cylinder of an initial normal operation of the apparatus and the pressure characteristic of a failure prediction boundary. The judging device judges (1) the apparatus the normal state when the measured pressure characteristic is in a area between the pressure characteristic of the normal operation and the pressure characteristic of the failure prediction boundary, and (2) the apparatus the abnormal state when the measured pressure characteristic is outside the area between the pressure characteristic of the normal operation and the pressure characteristic of the failure prediction boundary.