An auxiliary frame for supporting elements of a front suspension of a motor-vehicle includes two end supports for connection thereto of suspension elements and a structure which connects the end supports to each other. The connecting structure has a front beam and a rear beam which connect the end supports to each other. The rear beam has an arch-like configuration which extends substantially in a horizontal plane, with a central portion arranged in a forwardly spaced position. The front beam of the connecting structure has a configuration which is substantially straight and perpendicular to a vertical median plane of the auxiliary frame. The front beam and the rear beam are longitudinally spaced from each other and connected to each other by at least two lateral longitudinal arms spaced from each other and which have a configuration substantially straight and parallel to the vertical median plane of the auxiliary frame.