An analysis of the response of steel chimneys to wind action is presented in this paper. The approaches presented in the Polish standards and in Eurocode 1 referring to steel chimneys and wind action are shown here. Comparisons of along-wind and crosswind action according to these procedures are made. Responses to the wind action, i.e. displacements of the top of each chimney, are compared. Real chimneys were analyzed. In almost every case, significant vibrations due to vortex excitation was observed. Structural data was obtained from the literature. All chimneys and wind actions were modelled in FEM system – Autodesk Mechanical Simulation 2013. Very significant differences of the crosswind response were observed when analyzing two approaches proposed by Eurocode. Lateral displacements were larger than longitudinal displacements in many analyzed cases.