Abstract: Linear guidance device, of the type comprising a rail defining a path of movement of a movable assembly and rollers secured to the movable assembly. The rollers are mounted in an elastically deformable block (20, 30, 31) so as to apply the rollers (36a-36d) to the rail (17, 27, 42) while exerting a predetermined and substantially constant contact pressure on the guidance rail (17, 27, 42). The elastically deformable block (31) comprises at least two rigid portions (37, 38 or 39) interconnected by an elastic hinge (40 or 41) comprising at least one wall (40 or 41) of small thickness constituting a region of deformation and permitting relative pivoting between the two rigid portions (37-38, 37-39).