Abstract: Process of analysis of the complex displacements of a moving horse, consisting in: (a) placing on the horse (the saddle, for example) in real movement, measuring means (accelerometers, gyrometers, inertial control unit) by means of which one measures the speeds of linear displacement along the three axes, X, Y, Z and possibly of rotational displacement along these same axes; (b) establishing from these measurements the figurative curves, by repetitive pkeriods, of the variations of speed and position for the linear displacements and possibly for the rotational displacements; (c) analyzing these curves so as to determine its performances and its aptitudes for the different gaits, figures and jump, according to the different usages desired.