In this study, the intensity and phase distributions of a ring Airy-Gaussian vortex beam propagating in atmospheric turbulence are numerically studied based on the split-step Fourier method. The propagation characteristics of the ring Airy-Gaussian vortex beam in atmospheric turbulence are discussed and compared to those in a free space. The impacts of propagation distance and distribution factor on the average intensity of ring Airy-Gaussian vortex beam in atmospheric turbulence are revealed. Results demonstrate that the phase wavefronts of the beam during the propagation process are distorted due to the random disturbance of the atmospheric refractive index. The equiphase line of the beam turns into an arc due to the orbital angular momentum, and the arc becomes non-smooth gradually with the increase of the propagation distance. In addition, the variation of the average intensity of ring Airy-Gaussian vortex beam with the propagation distance in atmospheric turbulence follows the Airy function distribution. The smaller the distribution factor is, the more obvious the variation of the phase wavefronts with the propagation distance is. The stability and propagation quality of the beam are affected by the distribution factor.