The radiation damage model in the Particle and Heavy Ion Transport code System (PHITS) has been developed using the screened Coulomb scattering to evaluate the energy of the target Primary Knock on Atom (PKA) created by the projectile and the secondary particles which include all particles created from the sequential nuclear reactions. For the high-energy proton incident reactions, a target PKA created by the secondary particles was more dominant than a target PKA created by the projectile. To validate prediction of DPA values in metals irradiated by >100 MeV protons, we developed a proton irradiation device with a Gifford-McMahon (GM) cryocooler to cryogenically cool wire samples. By using this device, the defect-induced electrical resistivity changes related to the DPA cross section of copper and aluminum were measured under irradiation with 125 and 200 MeV protons at cryogenic temperature. A comparison of the experimental DPA cross sections with the calculated results indicates that the athermal-recombination-corrected displacement damage (arc-dpa) provide better quantitative descriptions of the DPA cross section than NRT-dpa without defect production efficiencies.