The non-diffracting, self-healing, and self-bending properties of partially coherent Airy beams can suppress the influence of ocean turbulence on the transmission of signal light. The degree of optical wave coherence can be described using the complex coherence of the optical field. In this study, the cross-spectral density function of the received light field after a partially coherent Airy beam reflected by a Gaussian random rough surface in ocean turbulence is derived using the generalized Huygens-Fresnel principle. The influence of ocean turbulence, light source, and rough surface parameters, as well as other factors, on the complex coherence of the backscattered light field is analyzed. The results show that the longer the partially coherent Airy beam transmits in ocean turbulence, the lower the complex coherence of the backscattered light field, the complex coherence of the backscattered light field increases with the coherence length of the partially coherent Airy beam and decreases with the increase of the truncation factor, the speckle size at the receiving end decreases with the increase of the truncation factor, and the complex coherence of the backscattered light field decreases with the increase of the intensity of the ocean turbulence and root mean square height of the rough surface. This study establishes a theoretical basis for underwater target detection technology.