Method of monitoring the wear of at least one sliding electrical contact of at least one electrically conducting brush, sliding over at least one electrically conducting track which can move with respect to the brush in relative rotational or linear motion, the method including the steps consisting in measuring the electrical resistance of said sliding contact, in delivering at least one image signal corresponding to the measured resistance, in tracking the variations of said image signal, in constructing at least one reference signal indicative of a state of wear of said sliding contact, in comparing said image signal with said reference signal and in deriving at least one signal corresponding to the state of wear of said sliding contact from said comparison of said image signal with said reference signal.