The spatially induced group velocity dispersion (SIGVD) of ultrashort pulsed Airy light beam propagating in free space is theoretically studied with wave equations. The factors influencing SIGVD are also analyzed. Moreover, the numerical simulation results confirm that the second-order SIGVD broadens the pulsed Airy beam in temporal domain; and the third-order SIGVD brings the unsymmetrical temporal trailing oscillatory structure of beam, which is just the Airy beam in temporal domain. As a result, it can bring the Airy-Airy-Airy beam in free space, which is Airy distribution both in spatial and in temporal domain, by utilizing the third-order SIGVD on the condition of compensating the second-order SIGVD.