A rotor (1) of an axial-flux electromagnetic machine having a body comprising an internal hub (2) concentric to the axis of rotation (7). Branches (3) extend radially in relation to the axis of rotation (7) from the internal hub (2) toward a binding band (8) which forms an external circular rim of the rotor (1). In each space defined between two adjacent branches (3) there is a magnet structure (10) comprising a plurality of magnets (4). The body is constituted by a plurality of stacked layers of composite containing fibers bonded by a resin. The fibers of each layer are oriented in a different predetermined direction (F1, F2) for two adjacent and stacked layers. In addition, a covering skin is located on each of two opposite faces of the rotor body, made up of a plurality of stacked layers of composite containing fibers bonded by a resin.