The aim of the article was to analyze the process of the dynamic interaction between ice and offshore structures and find conditions of vibration beginnings. The problems of creating a full-scale finite element model of ice and offshore structure interaction and comparison of the received results of vibration conditions with the field data were solved. Modeling was realized with the finite element analysis software ANSYS. The problems of modeling cracks formation, checking the multilateral model using basic ice strength tests and finding ice loads level on different types of structures were solved in order to create a destructible ice model. The object of the investigation is the role of elastic and inertial offshore structure parameters and geometrical and dynamical ice field parameters in the process of ice-induced structure vibrations. Molikpaq drilling and oil production platform in Canada and Norströmsgrund lighthouse in Sweden were chosen as objects for modeling. The research contains verification of the results, their comparison to field data, load magnitudes from ISO 19906 «Petroleum and natural gas industries – Arctic offshore structures» algorithm and results of discrete element modeling. The results are acceptable in comparison with the results of other iceinduced vibration research.