Ice action on sloping structures is examined in this paper. This problem was considered many times before but, generally, only quasi static and 2D solutions were taken into consideration. In particular, these assumptions are proposed in widely used Croasdale’s solution for sloping structures. Some improvements of the 2D solution suggested by Croasdale cannot take into account all peculiarities of the 3D phenomenon. The numerical investigation of the problem based on the program ANSYS is used in this paper. The following topics are considered: a) what is the difference of maximum ice loads in 3D and 2D solutions; b) how does dynamicity of the ice/structure interaction process influence on the loads; c) how does the ice load depend on the main factors – ice strength, ice thickness and the structural slope angle.