Disclosed is a method for synchronizing an engine including a camshaft and a position sensor for sensing the position of the camshaft. The method includes, for each detected tooth edge: computing a time signature of the detected edge; comparing the time signature of the detected edge with a set of theoretical signatures of edges of the target including a theoretical signature for each edge of the target, the comparison being implemented through a tolerance; and generating a synchronization or synchronization fault signal as a function of the result of the comparison. When the engine speed drops below a predetermined threshold, the tolerance adopted for comparing the time signature of a detected edge with the theoretical signature of an edge of the target is reduced in relation to the tolerance adopted for the same comparison before the engine speed drops below the threshold.