This paper reports on the magnetic properties of Fe thin film grown on vicinal Si(111). The surface analysis, performed via scanning tunneling microscopy, showed that the iron grows in a form of two distinct types of elongated nanosized grains, aligned parallel and perpendicular to the substrate steps, respectively. A phenomenological model was used to interpret the experimental magnetization data which considers the two types of Fe nanoclusters with both cubic and uniaxial anisotropies, where those of each type are all identical and aligned. Every particle of the first type is coupled to the adjacent particle of the other type only via direct exchange coupling through the corresponding surface atoms. The experimental hysteresis loops as well as the coercivity and remanent magnetization angular variations are very well reproduced by the model, demonstrating that the magnetic behavior of this system is mainly determined by the ferromagnetic intralayer exchange coupling.