Conventional analysis of steel frames assumes either perfectly rigid or pinned connections. he rigidity of most connections behaves, in fact, soinewhat between these two extremes. Therefore incorporating the effect of connection flexibility into the analysis and design procedure of the frame becomes necessary. Buckling of a column is fundamental to the design of load bearing structures mainly when the analysis of such frames takes into account the effect of the connection ílexibility. The objective of this work is to present a simplified approach for the evaluation of the elastic buckling load for steel frames with semi-rigid joints. To this end, a simple model that takes into account the effect of beam-column joint flexibility in the analysis of steel frames is proposed and a corresponding stiffiiess matrix element is presented. The developed model has been verified to be valid through an illustrative example found in the literature; numerical results are provided to illustrate the accuracy of the results.