Mold-free resin-insulated coil windings are obtained by applying continuous fibers (4) embedded in a quasi-solid-state epoxy-resin matrix, e.g. in the form of a tape (2; 2a, 2b), to the coil windings (3). The tape (2; 2a, 2b) is locally heated up to the melting point of its polymer matrix, and is subsequently pressed against the winding body (1). The heated and fused resin of the tape (2; 2a, 2b), which is pressed onto the coil (1), flows under pressure into the voids and gaps between the coil windings (3) and fills them up, thereby hermetically insulating the coil windings (3). After leaving the heating and pressing apparatus (7, 5) the fused epoxy resin becomes solid again. The resulting curing process is thus considerably simplified and shortened, compared to the state of the art.