A racket for a ball game, in particular for padel or beach tennis, the racket comprising a head and a handle, the handle being mounted to extend the racket head and comprising a grip, in which the head presents two opposite and substantially parallel hitting surfaces (12, 14) and an edge surface connecting the two hitting surfaces (12, 14) together at their periphery, in which the head is made of a deformable core material covered by at least one rigid covering layer, the racket being characterized in that the handle is likewise made by a deformable core material covered by at least one rigid covering layer, in that the deformable core materials (20, 24) are selected from: a foam, cork, an elastomer, latex, and in that: - either the deformable core materials of the head is surrounded, beside both of the hitting surfaces (12, 14) and over the edge surface, by a covering layer made of composite material, and the deformable core material of the handle is surrounded by a covering layer made of composite material - or the rigid covering layer of the handle is made from thermoplastic or thermosetting covering sheets, and the rigid covering layer of the head comprises two thermoplastic or thermosetting covering sheets, each thermoplastic or thermosetting covering sheets of the rigid covering layer covering one of the faces of the core so as to form the two hitting surfaces (12, 14) and covering a portion of the edge surface of the core, with: * one of the covering sheets covering the edge surface of the core, while the other covering sheet overlaps the first sheet on said edge surface of the core so that the edge surface of the racket is formed by the two covering sheets superposed one on the other, or * each covering sheet covering part of the edge surface of the core, the two covering sheets overlapping only over a portion of the edge surface of the core, or * each covering sheet covering the edge surface of the core in part, without any overlap, with an additional piece covering the edge surface of the racket so as to overlap each of the covering sheets, or * the two covering sheets being connected together edge to edge via their own edge surfaces or via their inside faces that face the core. - either the deformable core materials of the head is surrounded, beside both of the hitting surfaces (12, 14) and over the edge surface, by a covering layer made of composite material, and the deformable core material of the handle is surrounded by a covering layer made of composite material - or the rigid covering layer of the handle is made from thermoplastic or thermosetting covering sheets, and the rigid covering layer of the head comprises two thermoplastic or thermosetting covering sheets, each thermoplastic or thermosetting covering sheets of the rigid covering layer covering one of the faces of the core so as to form the two hitting surfaces (12, 14) and covering a portion of the edge surface of the core, with: * one of the covering sheets covering the edge surface of the core, while the other covering sheet overlaps the first sheet on said edge surface of the core so that the edge surface of the racket is formed by the two covering sheets superposed one on the other, or * each covering sheet covering part of the edge surface of the core, the two covering sheets overlapping only over a portion of the edge surface of the core, or * each covering sheet covering the edge surface of the core in part, without any overlap, with an additional piece covering the edge surface of the racket so as to overlap each of the covering sheets, or * the two covering sheets being connected together edge to edge via their own edge surfaces or via their inside faces that face the core. * one of the covering sheets covering the edge surface of the core, while the other covering sheet overlaps the first sheet on said edge surface of the core so that the edge surface of the racket is formed by the two covering sheets superposed one on the other, or * each covering sheet covering part of the edge surface of the core, the two covering sheets overlapping only over a portion of the edge surface of the core, or * each covering sheet covering the edge surface of the core in part, without any overlap, with an additional piece covering the edge surface of the racket so as to overlap each of the covering sheets, or * the two covering sheets being connected together edge to edge via their own edge surfaces or via their inside faces that face the core.