Flame retardant thermoplastic polyurethane (TPU) compositions are disclosed having a flame retardant package comprising an organo-phosphinate component, an organo-phosphate component, and a polyhydric alcohol. The flame retardant components may be present in an amount from about 5 to about 40 weight percent of the phosphinate compound; from about 5 to about 20 weight percent of the phosphate compound, and from about 0.1 to about 15 weight percent of the polyhydric alcohol, based on the total weight of the TPU composition. Processes are disclosed to make the TPU compositions and to make wire and cable constructions employing the TPU compositions as the jacket of the wire and cable constructions. The TPU compositions exhibit excellent flame retardant capabilities as measured by Limited Oxygen Index testing and/or UL 94 Vertical Burn tests.