A suspension element of a vehicle includes a coil spring, and a bearing part provided with a main stop. The spring is mounted on the bearing part in such a manner that a first end of the spring comes to bear against the main stop. The bearing part includes a secondary stop placed in front of the main stop, against which secondary stop the first end of the spring bears during a method for assembling the suspension element. The secondary stop is capable of moving away under the effect of pressure exerted by the spring on the secondary stop during a stage of compressing the spring after the spring has pivoted about the spring's rotational axis during a stage involving straightening the spring, so that a second end of the spring is made to interact with a centering element, in order to come to bear against the main stop.