Based on the model developed recently for describing a spatial power spectrum function of clear oceanic water and the extended Huygens-Fresnel integral in linear media, the effects of oceanic turbulence on propagation properties of a multi-Gaussian Schell-model (MGSM) beam is studied. The analytic expressions such as the spectral density, the degree of coherence and the propagation factor M2 of the beam are derived. Numerical results show that, the oceanic turbulence has a significant influence on propagation properties of a MGSM beam. With the suitable choice of beam parameters, the center of the intensity profile not only forms a plateau in the far-field but also the formed plateau can keep a long distance in oceanic turbulence. Furthermore, a MGSM beam with a large source parameter N could further reduce turbulence-induced spreading effect.