ABSTRACTThe present study deals with the problem of theoptimum design of high-rise buildings. The optimumsolution for differentstructuralsystems (slab /column, frame, and shear wall structures) have beeninvestigated under both vertical and horizontal (wind)loads.The study has two phases. The first is maximizingthe structural height of the building. The objectivefunction for this phase is subjected to different linearand nonlinearconstraints(deflection;stress,geometrical and architectural constraints) in order tocompare the maximum permissible height among the threestructural systems. The second phase of the studyconsiders the cost of material as the objective functionthedeterminewith different linear and non(deflection, stress, geometricalconstraints) in order tolinearandconstraintsarchitecturalsuitablestructural system for the building.A computer program is developed for optimizing theproblem using interior penalty method ,powell method and