Based on the extended Huygens-Fresnel principle and the unique cross spectrum density，the propagation properties of Gaussian non-uniformly partially coherent beams in turbulence atmosphere are studied synthetically. The results show that the abrupt change of the coherence distribution in the source plane disappear during the propagation in the turbulence atmosphere. During the propagation, the degree of coherence between two points first increase and then decrease with the increase of propagation distance. What′s more, the non-uniform distribution of coherence in the source plane turns into uniform. Non-uniformly correlated partially coherent beams may have some applications in optical communication.