In the book are presented a series of kinematic and dynamic analysis methods of the mechanism of the sucker rod pumping units and is analyzed the dynamics of the rod column. The presented analysis methods were transposed by the authors into computer programs, and the results of the simulations carried out with these programs show good accordance with the results of the measurements made at several wells. The book is addressed both to the students in the field of mechanical engineering, but also to the specialists from universities and institutes that carry out activities in the field of research and equipment design in the petroleum industry.