The response time of Position Sensitive Detector(PSD) has a direct effect on the veracity of incident light positions detected dynamically by PSD. The phenomenon of optovoltage accumulation is analyzed. Two-dimensional PSD with tetralateral type is set as an example to establish the simulation model of response time of PSD and analyzed is its affection factors. Results show that the response time of PSD increases in the same proportion to the increases of light sensitive surface area, resistance value of p-type layer and junction capacitance value. Under the condition of same parameters of structure and physical characteristics, the energy of incident light is independent of the response time of PSD.