The invention relates to a flexible polymer dielectric material used for a capacitor and the preparation thereof. The material is the blending material of fluorine-containing polymer and nylon, wherein, the fluorine-containing polymer is any one of polyvinylidene fluoride, vinylidene fluoride- trifluoroethylene copolymer and vinylidene fluoride-tetrafluoroethylene copolymer; the nylon is any one of PA7, PA9, PA11, PA7/ PA9, PA7/PA11, PA9/PA11 and PA7/ PA9/PA11. The volume ratio between the nylon and the fluorine-containing polymer is 10%-90%: 90%-10%. The preparation steps comprises: 1) under the condition that the temperature is 150-230 DEG C and the rotating speed is 15-50r/min, the nylon and the fluorine-containing polymer are mixed in mixing equipment according to the volume ratio of 10%-90%: 90%-10%, and then the mixture is cooled naturally; 2) the mixture obtained in the step 1) is pressed for shaping in a mould, the mould pressing temperature is 150-230 DEG C, the mould pressing pressure is 10-25MPa, and the pressing time is 15-30min; the pressed mixture is cooled when in pressure maintaining, so that the flexible polymer dielectric material is obtained. The flexible polymer dielectric material has good mechanical property and higher dielectric constant; the property needed by the material can be adjusted by regulating the mixture ratio between the nylon and the fluorine-containing polymer, so that the invention is especially suitable for preparing film dielectric material.