Super-Tall building structures possess complex inelastic and dynamic properties which, under the influence of time dependent loads, experience deformations that are a function of both vibration and mass to stiffness ratio. In addition, super tall structures prescribe to ever increasing slender geometry, amplifying the critical dynamic response of their systems to time variant transient loads. Hence the limitations of static methods of analysis, coupled with insufficient structural systems, implies the need for the development of new 'Dynamical' structural systems for super-tall buildings. This paper describes the analysis methods and structural modeling techniques employed to enable the development of the new Multiple Hollow-Tube (MHT) system for super-tall slender buildings. Special emphasis is placed on the application of pushover and time history analysis for effectively identifying the maximum dynamic base shear and bending forces from seismic response forming the basis for a new dynamical design approach.