The propagation characteristics of Ince-Gaussian (IG) beams in turbulent ocean environment are calculated and simulated by using step-by-step phase screen method. The effects of propagation distance, mode order and ellipticity parameter of IG beam on propagation performance are studied. The changes of beam intensity distribution, beam width, spot centroid wander and scintillation index parameters during transmission are analyzed. It is found that in the oceanic turbulence propagation, with the increase of propagation distance, the spot of IG beam will diffuse. At the propagation distance of 100 m, the IG beam with ellipticity parameter less than 2 will be transformed into a hollow beam. Secondly, the oceanic turbulence has a broadening effect on IG beam during propagation, and the standard deviation of spot centroid wander gradually increases with the increase of mode ellipticity parameter. In addition, the scintillation index increases with the increase of the order of IG mode. With the increase of ellipticity parameter of IG mode, the scintillation index first decreases and then tends to be flat. The research results have guiding significance for the marine application of IG beam.