The invention discloses a PCL conductive shapable material, and a preparation method and an application thereof, and belongs to the field of functional polymer materials. The PCL conductive shapable material is composed of the following substances by the mass percentage: 49%-98.4% of PCL, 1%-30% of a plasticizer, 0.5%-20% of carbon nanotubes, and 0.1%-1% of an antioxidant. After the components are mixed, the PCL conductive shapable material is obtained by melting the mixture with a twin-screw or single-screw extruder or an internal mixer. The PCL is modified by the carbon nanotubes, and with addition of N-N-butyl sulfonamide, the PCL is plasticized and the carbon nanotubes are subjected to surface treatment, so good dispersion of the carbon nanotubes is achieved while the softening temperature of the composite material is reduced, and good conductivity and shapable effect are obtained. The prepared conductive shapable functional material has the advantages of small volume resistance, low softening temperature and the like, and has good application prospects in the fields of hot compress medical apparatus and instruments, medical insulation pads, electric blankets and the like.