Selection of the appropriate ground motion records for performing nonlinear dynamic analyses is one of the most important challenges because of their important influence on the interpretation of analysis results. A logical method for the initial refinement of ground motion records with a minimum computational cost is using the refining process based on the optimum intensity measure, which is able to predict the responses in a reliable manner. In this research, a list of intensity measures is considered to determine most effective ones from the point of view of relationship with the dynamic response of the structure. Selected models in this paper include two-dimensional structures of 4 and 8 concrete story with reinforced concrete special moment frames, which is modeled nonlinearly. Collapse capacity values of the structures using the Sa(T1) and the Incremental Dynamic Analysis (IDA) with SeismoStruct software under the excitation by 40 ground motion records selected from the refined data for observing behavior of the structure from the linear phase to the collapse threshold was obtained. Finally, by establishing a statistical relationship between the dynamic response parameters and the 27 intensity measures with the use of Pearson correlation coefficient, the most effective intensity measure for each of the selected structures was introduced.