Disclosed is a passive shock-absorbing system for a sighting apparatus installed on a device including equipment generating the shocks, the system including two rigid plates substantially parallel to one another, via a first plate secured to the part of the device including the equipment and a second plate secured to the sighting apparatus, the plates being connected to one another by a position return component returning the plates to a determined relative rest position after absorbing a shock. The system is characterized in that the position return component includes a line-point-plane positioning unit with balls between the two plates and a set of elastic return members connecting the two plates to one another. A corresponding device is also desclosed.