<p>The spinning-rolling process(SRP) for big-tapered profiled ring disk is a complex dynamic incremental forming process comprising two stages: the spinning bending process(SBP) and the profiled ring rolling process(PRRP). If the diameter of the ring disk maintains a constant rate of change, the acceleration of diameter reduction or increase remains zero. This effectively mitigates the oscillation of the ring disk, significantly improving the stability of the whole SRP. Based on this assumption, and considering the transition of the ring disk’s deformation mode, rotational condition, bite-in and penetration conditions, the mathematical relationships among the process parameters and the reasonable range were determined. This established the stable forming condition for the whole SRP based on a constant diameter change velocity(CDCV). The corresponding roll motion velocity curve is obtained through this mathematical model, and a FE simulation comparison is conducted with the corresponding uniform motion. The equivalent plastic strain contour distribution of the ring disk and the vibration displacement curves of the guide rolls in the positive and negative ± z-directions are analyzed. Through FE simulations, the established stable forming condition for the whole SRP was verified by the range of the key process parameters and the stability of the forming process.</p>