The aim of this study is to determine the usefulness of selected 2D roughness parameters for detecting changes of geometric features and the rate the quality of the surface generated in the process of honing combustion engines sleeves. The paper presents the importance of mathematical modeling of virtual surface topography with different participation of determined and random factor. The possibilities of modeling the flat-top “plateau” surface roughness characteristic for honed surface was showed. Suitability of application of the roughness parameter for description of the selected variable characteristics of roughness profiles were determined using the correlation coefficient and the additional evaluation index designated as t. Indicator t was used for comparing the percentage change of the tested value of modeled profile characteristics with changes selected for evaluation of the roughness parameters 2D.