Capturing design process is becoming an important topic of feature-based modeling, as well as in product data exchange, concurrent design, and cooperative design. Three critical issues on the modeling of design process are considered in this paper, namely, feature concepts, feature evolution, and the semantic consistencies of the states of product models. A semantics-based product model is introduced to facilitate the description of both conceptual and detailed models, and to maintain the semantic consistencies of product states. The process is represented by feature states and their evolution records. Feature type variation and prototype-based design are proposed to support feature evolution. A conceptual description of the design process and an example are given.