This paper proposes a new type of composite flexible-spoke non-pneumatic tire structure to address issues such as easy fatigue failure, difficult maintenance and high replacement costs of the support bodies of conventional non-pneumatic tires. Firstly, a new composite flexible-spoke non-pneumatic tire model was established using ABAQUS software. Finite element simulation analysis was then carried out to study the basic mechanical properties of this tire, as well as the relationship between the sinking amount of the tire and motion interference between adjacent support body units under different thicknesses of the double arcs sections of individual support body units. The results show that the larger the sinking amount of the new composite flexible-spoke non-pneumatic tire, the easier it is for adjacent support body units to interfere with each other's motion. To avoid motion interference, two improvement schemes were proposed on the basis of the original tire model, and the rationality of the improvement schemes was verified through finite element simulation. This research provides a new solution to reduce the difficulty of maintenance and cost of replacement of non-pneumatic tire support bodies.