Fractals is a powerful tool for describing complex and irregular geometric objects in nature.In order to obtain the ideal exhibition space effect,a simulation system for display spaces with virtual 3D visualization technology has been designed. Reconstructs the 3D terrain model by using the image feature points, employs the enclosing body hierarchy method to render the exhibition hall scene elements by using OSG 3D graphic engine, and establishes the leaf information by using the Billboard model. Tree engine is used to achieve the loading and rendering of tree models in the display spaces, and the rendered trees, water bodies and other element models are imported into the 3D terrain scene model. Select installation art design in exhibition halls as the experimental object, the system simulation results show that can obtain a better visual effect.