This paper provides a methodology to quantify the Influence of masonry infill walls on the structural damage of a steel frame building suffer from seismic events. Initially, several artificial accelerograms, compatible with the design spectrum of the Greek Antiseismic Code, have been composed. The intensity seismic parameters that have been evaluated were the peak ground acceleration (PGA) and the Arias intensity. The presented methodology is applied on a steel frame designed according to the rules of the recent Eurocode for steel structures EC3 and the Greek Antiseismic Code, respectively. In addition, the initial bare frame has been examined having 4 different layouts of infill walls on it, resulting into 5 different frame types. Nonlinear dynamic analyses have been carried out in order to evaluate the structures’ seismic response. For this purpose the computer program IDARC has been used. Among the several structural response characteristics, the focus is on the overall structure damage indices (OSDI). These have been expressed by the OSDI after Park/Ang and by the maximum inter-story drift ratio (MISDR). As the numerical results have shown infill walls proved to have a very positive contribution in the structure’s seismic response giving us an average of 44% reduction of the mean DI after Park/Ang and a 70% decrease in the non-zero values of the same DI between the bare frame structure and its infill wall reinforced counterpart. Similar results have been observed for the MISDR as well, where an approximate 42% average reduction has been noted in all 4 infill wall reinforced cases as opposed to the bare frame. Finally, a statistical study provided strong correlation between the examined damage indices and the Arias intensity, and on the other hand, medium correlation between the damage indices and the PGA, for all the frame types.