In order to investigate the propagation dynamics of vortex Airy beams passing through the negative index medium(NIM), the propagation dynamics equation was obtained based on the Collins formula. The intensity, vortex, and phase were studied by using the equation. The results show that it is possible to controlling the center lobe, superimposition position, and the intensity by adjusting the parameters of the negative index medium. All these properties of the propagation of the beam in NIM may have applications in areas such as optical micromanipulation and optical sorting.