ABSTRACT The article deals with the research of erosive damages of concave (outer) sides in directional circular arcs in the natural torrent bed. The research was carried out on 22 reference circular arcs on the Hučava torrent in the geomorphological unit of Poľana (Central Slovakia). The relation between R/Wbkf ratio (radius of curvature R/torrent bed width inside the banks Wbkf) and the bank slope angle BA of the concave arc BA=f(R/Wbkf) was analyzed. The relationship between R/Wbkf ratio and the percentage of vegetation cover VEG on the concave bank of the directional arc VEG=f(R/Wbkf) was analyzed as well. At the same time, the relation between ratio R/Wbkf and the VEG/BA coefficient was studied, which simultaneously the influence of vegetation cover and bank slope in connection with its erosive damage VEG/BA = f (R/Wbkf). It was found that the determination index for the relation BA=f(R/Wbkf) has the value of R2 = 0.924, for the relation VEG=f(R/Wbkf) the value of R2 = 0.953 and for the relation VEG/BA = f (R/Wbkf) the value of R2 = 0.967.