Progressive mesh representation and generation have become one of the most important issues in network-based computer graphics. However, current researches are mostly focused on triangular mesh models. On the other hand, solid models are widely used in industry and are applied to advanced applications such as product design and virtual assembly. Moreover, as the demand to share and transmit these solid models over the network is emerging, the representation and the generation of progressive solid models depending on specific engineering needs and purpose are essential. In this paper, we present a Cellular Topology-based approach to generating progressive solid models from a feature-based solid model. The proposed approach introduces a new scheme for storing and transmitting solid models over the network. The Cellular Topology approach makes it possible to effectively generate progressive solid models and to efficiently transmit the models over the network.