A halogen-free fire-retardant thermoplastic composition composed of: 50% to 70% by weight of fire-retardant fillers, 0.1% to 45% by weight of a copolymer of ethylene and of an ethylenic monomer bearing a polar function, 10% to 25% by weight of a non-functionalized very low density polyethylene (VLDPE), optionally, up to 10% of additives, and 0.1% to 10% by weight of a linear low density polyethylene (LLDPE), characterized in that the density of the very low density polyethylene (VLDPE) is between 0.85 and 0.91, in that the density of the linear low density polyethylene is greater than 0.91 and in that the linear low density polyethylene (LLDPE) is grafted with maleic anhydride grafts present on the main chain. Also, a cable, tube, pipe or the like, a layer of which is formed with said composition.