In order to further analyze the feasibility of Airy beam in optical communication, taking Airy beam as the carrier, the average bit error rate, outage probability and average channel capacity of free space optical(FSO) communication system based on lognormal distribution turbulent channel model under weak turbulence are studied, and the performance of FSO communication system with Gaussian beam as the carrier under the same turbulence conditions and transmission distance is compared. At the same time, the effects of beam width, exponential truncation factor and propagation distance of Airy beam on system performance are discussed. The simulation results show that under the same turbulence conditions and transmission distance, the performance of FSO communication system based on Airy beam is significantly better than that based on Gaussian beam, and with the increase of average signal-to-noise ratio, the link performance advantage of Airy beam as carrier is more significant.