Influence of the degree of polarization on beam wander of partially coherent Laguerre-Gaussian-Schell model (LGSM) beams propagating in a turbulence atmosphere is investigated. Based on the cross-spectral density function and the extended Huygens-Fresnel integral principle, the expression for beam width and beam wander of partially coherent LGSM beams in theory is developed. In different transmission distances, turbulence strength and coherence length, influence of the degree of polarization on beam wander of partially coherent LGSM beams is illustrated numerically. The numerical results show that beam wander of a LGSM beam with larger degree of polarization and less coherent length is smaller. Therefore, in free-space optical (FSO) communication, we can choose beams with larger degree of polarization and smaller coherent length to reduce the beam wander.