In order to inhibit the effects of atmospheric turbulence by using the non diffracting, self recovery and self bending property of Airy beam and realize the remote wireless optical communication, the intensity evolution of partially coherent Airy beams propagating in turbulent atmosphere were studied. By using the cross spectral density function of Gauss Schell model, the generalized Huygens Finel principle and the methods of Rytov phase approximation, the expressions for the average intensity of partially coherent Airy in turbulent atmosphere were derived. Then, the influences of propagation distance, turbulence intensity and other parameters on the intensity distribution were simulated, and the influence of the beam parameters on the intensity distribution was verified by experiments. The results show that the side lobe of the partially coherent Airy beam is gradually attenuated and the main lobe is gradually spread, with the increase of the propagation distance. When the spread is long enough, the side lobe is gradually lost, and the main lobe is gradually evolved into Gauss distribution. The simulation and experimental results show that the smaller the truncation factor is, the longer the characteristic length and the coherence length is, so that the beam intensity distribution is maintained integrally.