The key purpose of this work is to propose a methodology of lifetime prediction of wear parts using 3D surface roughness parameters defined in the standard ISO 25178 part 2 for wear rate determination. In our research the random surface model was used, where the height of surface asperities h(x, y) has a normal probability distribution. As a result of research the equations for estimation of the fatigue wear rate and friction coefficient were derived. Also it was revealed that more influential on linear wear rate are the 3D surface roughness parameters. The correlation between friction coefficient and 3D surface roughness parameters exist as well. So, at a first time in wear estimation the 3D surface roughness parameters were used. The results of this work have wide practical application, for example in design, texture specification on drawings etc.