A wheel-speed-sensor-anomaly detection apparatus detects anomaly of wheel speed sensors of a vehicle. When a difference between the minimum wheel speed among detected wheel speeds and the smallest value among the remaining wheel speeds is greater than a predetermined threshold value, in principle, a wheel speed sensor of the wheel corresponding to the minimum wheel speed is determined to be anomalous. Meanwhile, when a wheel having a lowered tire air pressure (air-pressure-lowered wheel) is present and a road surface on which the vehicle is currently traveling is a low-μ road surface, the operation of detecting anomaly of the wheel speed sensors is prohibited. This operation reliably prevents erroneous detection of anomaly of the wheel speed sensor of the air-pressure-lowered wheel, which erroneous detection would otherwise occur due to the locking tendency of the air-pressure-lowered wheel occurring because of decreased tire air pressure, in particular, on a low-μ road surface.