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Concrete structures with non-rectangular specially shaped thin columns found out as an alternative to the above said problem and it is found out that non-rectangular specially shaped thin columns performs well structurally with all analysis results within acceptable limits. This kind of structure satisfies spatial requirements of corners as well as intersection of corners so that no visible edges or prominent column would appear in the buildings. This expands the actual usable floor area and more furniture can be placed into the buildings. For this reason, frame structure with specially shaped column is suitable blooms, especially for multi-storey buildings. This work explains the behaviour of buildings with Rectangular columns and buildings with specially shaped columns and values of various parameters like story drift, story displacement, story stiffness etc. on the basis of lateral loadsSome of the complex geometric conditions and building irregularities requires experimental and analytical approaches for different material properties and sectional properties. Such parameters cannot be directly covered by the design code books and guidelines.