The invention provides an apparatus and a method of estimating tire air pressure with high accuracy from vehicle operation at low at high speeds regardless of various elements to be mounted to the vehicle. Estimation of tire air pressure based on a resonance frequency extracted based on a wheel speed signal outputted from a wheel speed sensor corresponding to the respective tire and estimation of tire air pressure based on a dynamic load radius derived based on the wheel speed signal, are used to selectively switch in accordance with a magnitude of a variance value of the resonance frequency at a plurality of time points.