In a displacement detection device, an acceleration sensor generates at least a first acceleration signal relating to an axis of detection, and a displacement detection circuit is connected to the acceleration sensor has a comparator stage for comparing the acceleration signal with a programmable acceleration threshold and generates a displacement-detection signal. A high-pass filter is arranged between the acceleration sensor and the comparator stage so as to reduce a DC component of the acceleration signal. The cut-off frequency of the high-pass filter is modified according to the type of displacements that are to be detected.