The invention relates to a polymer material comprising a halogen-free flame-proofing agent incorporated into the polymer matrix, the flame-proofing agent comprising at least ammonium polyphosphate(s) and / or derivatives thereof and an oligomer or polymer 1,3,5-triazine derivative or mixtures of a plurality thereof and at least one compound selected from phosphates, pyrophosphates, polyphosphates, organic and inorganic phosphonates, organic and inorganic phosphinates, stannates, molybdates or borates of the elements of the main groups II, III, IV or of the sub-group elements Fe, Zn, Ti, Mn, Zr, Mo, pre-condensed melamine derivatives, melamine salts and addition compounds, ethylene diamine phosphate, piperazine phosphate, piperazine polyphosphate, 1,3,5-trihydroxyethyl isocyanurate, 1,3,5-triglycidyl isocyanurate and triallyl isocyanurate. The weight ratio of constituents A to constituents B is 10:1 to 1:1, constituents A and B together amounting to between 60 and 99 wt. % and constituents C and D to between 1 and 40 wt. % of the total weight of constituents A, B, C and D. The polymer material is a thermoplastic elastomer (TPE).