In this thesis we have studied the growth of two-dimensional structures WS_2 structures at the Ir(111) surface. All measurements have been performed under the ultra high vacuum (UHV) conditions. Techniques that were used are scanning tunelling microscopy (STM) and low energy electron diraction (LEED). The former was used for characterizing the growth of tungsten islands on the surface of Ir(111). There were obtained various coverage of tungsten on sample, each of them has a specific morphology, which depends on the parameters of evaporation. Deposition of tungsten in H_2S atmosphere hasn't resulted by its sulphurisation. In some synthesis with H_2S dosing, the substrate was h-BN/Ir(111), but was equally unsuccessful. Another source of sulfur represented sulfid mineral pyrite, FeS_2. By it's heating the superstructure of 2 x √3 relative to the Ir(111) was formed. This superstructure grows in three equivalent domains, rotated by 60° with respect to each other. Additionally, the spatial arrangement is dimerized with the base comprising two atoms. We propose a model for this superstructure. By the deposition of the tungsten in the background pressure achieved by heating of the pyrite, WS_2 on Ir(111) has been succesfully synthesized. It's growth usually results by a single layer, bilayer and trilayer islands with triangular morphology, and single layer islands coarsening can form a full layer. The lattice constant of WS2 has been measured from the STM topographs, aWS_2 = (3:01 ± 0:02)Å. LEED measurements showed the presence of a hexagonal structure WS_2 with alignement fitting to that of Ir (111). The heights of the multilayered islands have been analyzed. It is revealed that each single layer STM heights may vary in accordance with the change of electronic density of states on the Fermi level. The edges of imaged WS_2 islands exhibit bright contrast indicating the hybridization of electronic states at the island rim involving edge atoms.