Flame-resistant, thermoplastic moulding compositions comprising A) 41.500 to 94.749 parts by wt. of at least one aromatic polycarbonate, B) 0.001 to 1.000 part by wt. of at least one flameproofing agent chosen from the group of the alkali metal and alkaline earth metal salts of aliphatic or aromatic sulfonic acid, sulfonamide and sulfonimide derivatives, sodium or potassium perfluorobutane-sulfate, sodium or potassium perfluorooctane-sulfate, sodium or potassium 2,5-dichlorobenzenesulfate, sodium or potassium 2,4,5-trichlorobenzene-sulfate, sodium or potassium methyl-phosphonate, sodium or potassium (2-phenylethylene)-phosphonate, sodium or potassium pentachlorobenzoate, sodium or potassium 2,4,6-trichlorobenzoate, sodium or potassium 2,4-dichlorobenzoate, lithium phenyl-phosphonate, trisodium or tripotassium hexafluoroaluminate, disodium or dipotassium hexafluorotitanate, disodium or dipotassium hexafluorosilicate, disodium or dipotassium hexafluorozirconate, sodium or potassium pyrophosphate, sodium or potassium metaphosphate, sodium or potassium tetrafluoroborate, sodium or potassium hexafluorophosphate, sodium or potassium or lithium phosphate, C) 0.20 to 1.50 parts by wt. of at least one rubber-free anhydride-modified alpha-olefin terpolymer, D) 5.0 to 40.0 parts by wt. of at least one glass fibre, E) 0.00 part by wt. to 1.00 part by wt. of at least one mould release agent, F) 0.05 part by wt. to 5.00 parts by wt. of at least one antidripping agent, G) 0.0 - 10.0 parts by wt. of further conventional additives chosen from the group of the antioxidants, heat stabilizers, optical brighteners and light-scattering agents, wherein the sum of the parts by weight of components A) to G) adds up to 100 parts by weight. A) 41.500 to 94.749 parts by wt. of at least one aromatic polycarbonate, B) 0.001 to 1.000 part by wt. of at least one flameproofing agent chosen from the group of the alkali metal and alkaline earth metal salts of aliphatic or aromatic sulfonic acid, sulfonamide and sulfonimide derivatives, sodium or potassium perfluorobutane-sulfate, sodium or potassium perfluorooctane-sulfate, sodium or potassium 2,5-dichlorobenzenesulfate, sodium or potassium 2,4,5-trichlorobenzene-sulfate, sodium or potassium methyl-phosphonate, sodium or potassium (2-phenylethylene)-phosphonate, sodium or potassium pentachlorobenzoate, sodium or potassium 2,4,6-trichlorobenzoate, sodium or potassium 2,4-dichlorobenzoate, lithium phenyl-phosphonate, trisodium or tripotassium hexafluoroaluminate, disodium or dipotassium hexafluorotitanate, disodium or dipotassium hexafluorosilicate, disodium or dipotassium hexafluorozirconate, sodium or potassium pyrophosphate, sodium or potassium metaphosphate, sodium or potassium tetrafluoroborate, sodium or potassium hexafluorophosphate, sodium or potassium or lithium phosphate, C) 0.20 to 1.50 parts by wt. of at least one rubber-free anhydride-modified alpha-olefin terpolymer, D) 5.0 to 40.0 parts by wt. of at least one glass fibre, E) 0.00 part by wt. to 1.00 part by wt. of at least one mould release agent, F) 0.05 part by wt. to 5.00 parts by wt. of at least one antidripping agent, G) 0.0 - 10.0 parts by wt. of further conventional additives chosen from the group of the antioxidants, heat stabilizers, optical brighteners and light-scattering agents,