This paper presents the development of a design methodology for the control of interstory drift caused by equivalent static earthquake loads in tall moment resisting steel frame structures. The methodology captures the flexural and shear drift modes through approximate behavior-based equations and attempts to minimize the total weight of the structural system with due consideration given to both strength and stiffness requirements. The methodology presented is part of an effort to develop a computer-based design support system for the conceptual design of steel frame structures. This design support system, 'Building Engineering and Reasoning Tool' (BERT), together with the application of the drift control methodology, are discussed in a companion paper.