A railway vehicle has a variable-attitude body (C) supported through resilient suspension means by a cross bearer (32) connected to the bogie (10) by two pairs of connecting rods (44). The variations in attitude of the body (C) are effected by means of two hydraulic jacks (62) articulated at their lower ends to the structure of the bogie and at their upper ends to the cross bearer, whose position is such as to support part of the weight of the body during its variations in attitude.