This paper presents an efficient method of mesh simplification for geometric 3D models. The transmission of 3D models on the Internet is an important task. The data size of a 3D model is usually large to enable more detail to be represented. Hence, it is necessary to represent the 3D model while keeping the data size small and preserving its features, even if the meshes that constitute the model are unstructured. Although there are many methods for simplifying the meshes, most of them are time-consuming. Our approach is to obtain an adequate simplified model in a short amount of time. Therefore, the model provider can check the simplified result interactively before uploading to the server. After transmitting the simplified model, if the user at the client needs to get more details, by transmitting some necessary information, the progressively increasing model detail and the original model without losses could be reconstructed.