Airy beam is a special nondiffraction beam with selfrecovery and selfbending.We studied the selfrecovery of the finite energy airy beam after focusing based on the diffraction theory. The airy beam generated by the optical system composed of triangular prism and circular focusing lens decays faster. We both found the beam can be corrected through adding the lens, and research on numeric simulation and comparation of the change of the light intensity distribution of the airy beam before and after the correction. The results show that the selfrestoring beam of the finite energy airy beam is attenuated rapidly with the propagation distance in a certain transmission distance. Therefore we concluded that the addition of the correction lens can suppress the attenuation of the airy beam.