A reliable technique for analyzing the inelastic dynamic response of reinforced concrete stack-like styctures is presented in this paper. The deformed configuration of stack is idealized as an assemblage of bet elements and the element mamices are evaluated utilizing the actual stress-strain relationships of concrete and reinforcing steel. An adaptive time-step reduction acheme is suggested for efficient evaluation of the inelastic response. An example earthquake response analysis is presented to demonstrate that the stacks can sustain significant inelastic deformations without collapse. A significant part of seismic input energy is dissipated through hysteretic action, and therefore, stacks could be designed for ductile behavior.