The aim of the paper is to investigate the influence of the surface texture parameters on the tribological properties of functional coatings. The object of the investigation is the Ti-TiN erosion-resistant PVD coating sprayed on the surface of the compressor blade of the aircraft gas turbine (base material: Incoloy 800). Surface texture parameters were recently standardized, but the effectiveness and necessity for using such parameters in science and industry are still not fully proven. Thus, the relationship between concrete diapasons of values of selected texture parameters and tribological properties, as well as selection of most appropriate texture parameters for characterization of contact surfaces still is under discussion. Hence, the aim of presented paper is highly actual. The comparative study on the influence of the surface texture parameters on the friction coefficient was done. For evaluation of the coating surface quality as well with the goal to evaluate the adequacy of ordinary (2D) and new (3D) approaches the 2D description approach was applied. The achieved results prove the ascendancy of surface texture parameters. Recommendations for choosing such parameters for contact surfaces (including amplitude, spacing, functional and hybrid parameters) were elaborated and offered.