Based on the extended Huygens-Fresnel principle, the analytical expression for the coherence degree of partially coherent annular beams propagating through oceanic turbulence is derived. The changes of the coherence degree and the width of the coherence degree of partially coherent annular beams versus the propagation distance, the oceanic turbulence parameters and the beam parameters are investigated in detail. It is shown that the oscillatory behavior of the coherence degree may appear with partially coherent annular beams propagating in free space or weak oceanic turbulence, but the coherence degree takes a Gaussian-like profile as the strength of oceanic turbulence increases. On the other hand, under weak oceanic turbulence condition, the width of the coherence degree reaches a maximum at a certain propagation distance, which depends on the obscure ratio and the correlation parameter of annular beams. However, under strong oceanic turbulence condition, the coherence degree is nearly independent of the obscure ratio and the correlation parameter of annular beams. The results are useful for applications of partially coherent annular beams in oceanic turbulence.