Tall building structural systems, tall core supported buildings, types of loading and limit states are briefly described. The research work presented here focused on the analysis of core structures, cores constrained by floor slabs, hull-core structures and suspended floor forms of tall buildings, in static and dynamic, flexural and torsional modes. The Continuous Connection Method was used in the analysis of each building form expcept for suspended floor system type of building where only results of experimental investigations are presented. The important dynamic structural parameters such as natural frequency, mode shapes, damping and logarithmic decrement inherent in the structure are briefly described together with a simplified method of dynamic analysis. Four rectangular perpex models of tall core supported buildings were fabricated in stages. There were tested statically, to obtain the deflections and strains, as well as dynamically, to obtain the dynamic structural parameters in the models of various building types. The instrumentation and testing procedures employed in the experimental investigations are also described. The results from each series of tests on all the models are presented and comparison is made with the values obtained from theoretical analysis using the methods described earlier. The results include the deflections in flexural modes in both plan directions, X and Y, and rotation for torsional loads for various unit load cases. The associated strains and load distributions in the structural elements are also presented graphically. Natural frequencies, mode shapes, damping and logarithmic decrement of vibrations, from the dynamic tests performed on the models, are given in tabular and graphical form. Discussion is made on the aspect of structural forms and methods of analysis. Approciate conclusions are drawn and suggestions are made for future research work.