Corrugated cryogenic flexible composite pipe is used for the transfer and filling of liquefied natural gas (LNG) between ships or between ships and banks. It is one of the key equipment in the development of marine LNG. The mechanical performance of the corrugated cryogenic flexible composite pipe directly affects the economy and safety of offshore natural gas development. Therefore, it has very important guiding significance for practical engineering design to study the mechanical properties of the pipe in detail. Corrugated cryogenic flexible composite pipe is mainly composed of internal and external helical skeleton layers and intermediate polymer layers. The intermediate layer is mainly composed of multi-layer polymer braid layers and film layers, which are treated as a typical multi-layer unbonded helically wound structures. According to the structural characteristics of the corrugated cryogenic flexible composite pipe, its simplified mechanical model is extracted in this paper. The mechanical equilibrium equation and geometric equation are constructed through the basic mechanical knowledge of elasticity . The methodology of micro element and virtual work principle are introduced to deduce the relationship between tensile load and deformation, and obtain the calculation method of tension stiffness of the corrugated cryogenic flexible composite pipe. Furthermore, the tension mechanical behavior characteristics of the corrugated cryogenic flexible composite pipe under tensile load are studied. Finally, numerical model of corrugated cryogenic flexible composite pipe is established through ABAQUS to verify the proposed analytical theoretical model. The results show that the error of the theoretical method is less than 5%, which provides a useful theoretical basis for the structural design of corrugated cryogenic flexible composite pipe.