The invention discloses a flexible high-thermal-conductivity polymer nanocomposite film. According to the invention, an h-BN thermal-conductivity filler is adopted and HDPE is used as a matrix. A preparation method for the flexible high-thermal-conductivity polymer nanocomposite film comprises the following steps: physically premixing the h-BN and the HDPE, carrying out melt blending with a twin-screw extruder to increase the dispersibility of the h-BN in the HDPE, extruding a formed h-BN-HDPE composite material through a single-screw extruder, carrying out cooling, stretching and flaking; andfinally, carrying out hot stretching treatment on the composite material to induce the orientation of the layered h-BN in the HDPE, wherein the content of the filler determines the flexibility and the heat-conducting property of the film, and the content of the filler depends on the dispersity of the filler in the polymer matrix. The polymer heat conduction nanocomposite film prepared by the invention has ultrahigh heat conductivity, good heat dissipation capability, good flexibility and excellent comprehensive performance, is applicable to mass production, can be made into various components, and has wide application prospects in the fields of electronic packaging, LED lighting systems, automobiles, aerospace and the like.