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The valve stem seal is an important part of any internal combustion engine. The seal supplies a lubrication of valve stem and limits emission of oil. To design reliable and long-life stem seals a numerical simulation of the seal work is used. Numerical simulation helps to understand the main features of the stem seal working cycle and estimate the changing seal characteristics because of seal aging processes. The problem of oil flow via stem seal involves fluid-structure interaction between an oil flow induced by oscillating stem and deformable seal made from rubber. The Fluid-Structure Interaction Problem is solved numerically by using two codes: Abaqus/Explicit to get deformation of rubber seal and CFD code FlowVision to simulate oil flow.