A variable value (dynamic load radial deviation &bgr;) for making determination of a tire air pressure is calculated from pulse number cumulative values PFL, PFR, PRL and PRR that are cumulated for individual wheels when a predetermined condition is fulfilled. The calculated variable value is stored as a reference variable value, and a speed of a vehicle at the time when the reference variable value is calculated is stored as a reference vehicle speed associated with the reference variable value. If the value is newly calculated, it is determined whether or not a vehicle speed at that moment is within a predetermined vehicle speed range determined by the reference vehicle speed. If it is determined that the vehicle speed is within the predetermined vehicle speed range, it is determined, based on a difference between the newly calculated variable value and the reference variable value associated with the reference vehicle speed, whether or not the tire air pressure is normal. Thus, even if the vehicle is fitted with one or more tires that depend greatly on vehicle speed, the possibility of erroneously determining that a tire air pressure is not normal can be eliminated.