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On the basis of dual-spin projectile multi-body characteristics, the angular motion model is established in the quasi-body coordinates. Through linearization, the system dynamic stability factor and gyroscopic stability factor are obtained by differential equations characteristic roots. There is also informative to compare the dual-spin projectile gyroscopic stability factor to the conventional rigid projectile results. The comparison can be viewed where the influence of the spin rates ration γf/γa and the ratio of inertia moments Cf/Ca on the ratio Sg/Syg of the gyroscopic stability factors. Through the numerical example, the dual-spin projectile has a similar stability to that of a conventional rigid projectile, and the curves of the relationship between the ratio Sg/Syg of the gyroscopic stability factors with the ratio of spin rates γf/γa and the ratio of inertia moments Cf/Ca are got by simulation.