The invention relates to a halogen-free, flame retarder composition for use in a thermoplastic composition, in particular a glassfibre-reinforced polyamide composition, which flame retarder composition contains at least 10-90 mass % phosphinate compound according to formula (I) and/or formula (II) and/or polymers thereof and 90-10 mass % polyphosphate salt of a 1,3,5-triazine compound according to formula (III) and 0-30 mass % olefin copolymer. When used as a flame retarder in glassfibre-reinforced compositions the halogen-free flame retardant composition results in a combination of a V-0 rating according to the UL 94 test of Underwriters Laboratories and excellent mechanical properties. The invention therefore also relates to the use of this flame retarder composition as a flame retarder in a polyamide composition, and a flame retardant polyamide composition that contains the flame retarder composition. The invention also relates to a moulded article containing the flame retardant polyamide composition, and the use thereof in the field of electrical and electronic applications.