In order to secure adequate ductile behavior and high seismic damage capacity of steel moment frames during an earthquake, AISC 341 represents a strength criterion. According to this criterion, the moment capacity of columns must be more than the moment capacity of beams in each joint (Strong Column/ Weak Beam concept). In this study, nonlinear time his-tory analyses have been carried out on several steel moment frames in which, frame design is based on plastic modulus ratio of column to beam section. Modified Park and Ang damage index has been utilized as seismic damage indicator. It is concluded for satisfying SC/WB concept, plastic modulus ratio approximately should be in the range of 1.1 to 1.3 for different frame designs and configurations. This design could consider more uniform distribution of seismic energy in structure and could be simpler for assigned as a rule of thumb for preliminary design of beams and columns in steel moment frames.