Solar energetic particles (SEPs) are accelerated by CMEs or solar flares. They travel through the corona and interplanetary magnetic fields to reach Earth, becoming a radiation hazard dangerous to astronauts working in space and electronics on spacecraft. Because each event has unique magnetic field properties and solar eruption kinematics, a data-driven model is necessary to predict SEP hazards. We have developed a model using photospheric magnetic field measurements and observed CME shock as inputs. The model incorporates diffusive shock acceleration with an injection of source particles from heated solar wind ions by CME shock. Testing its performance with simulation of several historical SEP events yields good agreement with observed time-intensity profiles and spectrum, particularly for weak CMEs or on magnetic field lines not connected to a strong shock. The model requires appropriate input of particle diffusion coefficient in order to reproduce the particle time-intensity profiles, but the peak intensity is less critically dependent on the diffusion coefficient.