Using the diffraction theory, the propagation factor of Airy laser beam in turbulent ocean is derived. Then, the evolution behavior of propagation factor is investigated by numerical simulations. Our results show that increasing the dissipation rate of oceanic turbulent kinetic energy or decreasing the relative intensity of temperature and salinity fluctuations and the dissipation rate of mean-square temperature of the turbulent ocean tend to decrease the relative propagation factor of the beam. Furthermore, numerical results indicate that the Airy laser beam with bigger scale factor exhibits smaller relative propagation factor in turbulent ocean. As the truncation parameter of the Airy laser beam is 0.63, the beam propagation factor has a maximum. In addition, the influences of coherent length and wavelength of light source are negligible.