The aim of the article is to present an analytical and a simulation model for the determination of the contact stresses in the eccentric rolling transmission. The stresses within the contact area of the eccentric unit and the cam wheel were analysed in accordance with the Hertz theory. 2D and 3D models for the finite element method (FEM) analysis were developed and the simulation results were compared with those of theoretical analyses. The influence of the eccentricity value and the dimensions of the bearing in the eccentric unit on the maximum and average values of contact stresses were investigated. The conducted research showed that, due to the contact stresses, it is advantageous to choose the bearing with the largest possible width and smallest outside diameter, and to apply low eccentricity values.