Halogen-free flame retardant for incorporation into a polymer matrix, wherein the flame retardant contains at least ammonium polyphosphate(s) and / or derivatives thereof and an oligomeric or polymeric 1,3,5-triazine derivative or mixtures of several thereof and at least one compound selected from monozinc phosphate, zinc borate, trizinc phosphate, zinc pyrophosphate, zinc polyphosphate, zinc hydroxystannate, zinc stannate, boron phosphate, monoaluminium phosphate, trialuminium phosphate, aluminium metaphosphate and mixtures thereof, precondensed melamine derivatives, melamine salts and adducts, ethylenediamine phosphate, piperazine phosphate, piperazine polyphosphate, 1,3,5-trihydroxyethyl isocyanurate, 1,3,5-triglycidyl isocyanurate and triallyl isocyanurate.