Abstract: Complex network is a young and booming research area, which makes people know more about the characteristic of complex systems and get deeper acquaintanceship about nature. As randomness is a common characteristic of many real-life complex systems, people take a long time to research it and constructed many stochastic models. However, these models still cannot make people clear how the complex network is formed vividly step by step. Therefore, deterministic models have attracted considerable interests for their topological features can be analytically obtained. Swirl is a common natural phenomenon, which has attracted much attention in recent years. In this study, inspired by the swirl phenomenon, a deterministic model is first constructed to describe swirl-shaped networks and then both analytical solutions and experimental results are presented for the topological characteristics of the proposed model. The results demonstrate that the proposed model is a constant-degree centrosymmetric network with a high clustering coefficient.