The results of analysis of oscillations of an offshore oil and gas production platform, caused by seismic and other impacts (ice-field motion, storm wave impact, ship impact on platform supports, mechanism operations, etc.) are given. The analysis has been based on mathematical modeling of various impacts. Specific features of the inducement of platform mechanical oscillations as a function of the type of impact have been revealed, and the qualitative distinctions of platform oscillations under different impacts are described, allowing one to determine accelerometer-mounting sites for revealing seismic events by changes in acceleration on the platform.