This paper presents a proposal about a method for analytical rolling friction coefficient determination. Basis of the proposal was an assumption: rolling friction coefficient is proportional to the semi-axes of the contact ellipses. This paper shows how to compute the semi-axes of the contact ellipses. This paper shows example results of contact loads identification using finite element method (FEM) and example of experimental results of friction torque as motion resistance of an angular bearing. Comparison of analytical and experimental determination of rolling friction coefficient was examined too.