Nowadays, different design approaches are being used in the formation of architectural products. Beginning with very different facts in the conceptual sense, examples of architecture produced by unusual forms are often encountered. The development of new design examples in this direction is supported by the production of forms in different geometric perceptions and of three dimensional models defined in digital design situations. In this study, by using the principles existing in the fractal perception of the elements found in a vocabulary relevant to a certain architectural language, an approach is suggested which will be able to show the way to computer aided architectural design and production of architectural forms. This approach, by relying on the fractal dimension and features of an existing architectural pattern, is a generative design approach supporting creativity in the generation of new forms. With the generative model formed by this approach, and by looking at the reality of architectural design from a different point of view, an attempt has been made to examine how fractal geometry may be used as a tool in architectural design. In the study, the place of fractal geometry within the scope of shape grammar and how it can be of benefit to the process of architectural design from a computer - aided design approach are examined.