A K+p interaction model is derived as one-hadron-exchange potential, with the hadrons being exchanged are a scalar-meson σ; vector-mesons ω and ρ; hyperons Λ and ς; a spin 32 resonance ς∗ (1385). This interaction is derived by implementing the Blankenbecler-Sugar reduction, following the same guidelines as those applied in the successful Bonn nucleon-nucleon one-boson-exchange potential, in order to have a K+p interaction model for nonrelativistic calculations. The model parameters are determined by means of fitting processes to experimental data of K+p differential cross section for kaon laboratory energy of about 21 MeV to 951 MeV. We calculate the differential cross sections using a three- dimensional technique without partial-wave expansion. The fitting processes give a result of χ2/N = 17.38. In order to improve the model, more exchange resonances are to be included in future works.