A communication cable (K) with a large number of conductor cores (2) includes insulated conductors in which the conductor cores (2) are stranded with one another to form stranded elements (1). A large number of the stranded conductor cores are combined in the cable core (8). The insulation of the conductors (3) includes an inner layer (4) of a flameproof insulating material and an outer layer (5), which includes a polyolefin. The outer layer of the insulation is produced by extrusion, and is permanently joined with the inner layer (4). A closed sheath (9) includes a metal strip applied over the cable core. The outer sheath (10) includes a non-combustible material applied over the inner sheath (9), with which it is adhesively bonded.