Using atmospheric turbulence transmission theory and partially coherent light cross spectral density function， the coupling efficiency of partially coherent light-fiber array is studied， and the influences of light source coherence， lens array sub-aperture number N， transmission distance， turbulence intensity， and wavelength on coupling efficiency are analyzed in this paper. Simulation results show that the lens array can well restrain the decrease of the coherence degree of the light source and the influence of atmospheric turbulence on the coupling efficiency of partially coherent light-fiber array. When the equivalent receiving aperture is the same， the increase of the N of the lens array can effectively improve the coupling efficiency of partially coherent light-fiber array. When N=37 and the transmission distance is greater than 3 km， the coupling efficiency curve tends to be stable. For a light source with a wavelength of 1550 nm and a coherence of 0.04 m， compared with single-lens reception， the lens array with N=37 can increase the coupling efficiency from 40% and 8% to 60% and 53% respectively in the case of moderate and strong turbulence. Compared with the long-wavelength light source， the coupling efficiency of the lens array to the short-wavelength light source is improved more obvious. For light sources with wavelengths of 850 nm and 1550 nm and a coherence of 0.04 m， compared with single-lens reception， the lens array with N=37 can increase the coupling efficiency from 18% and 41% to 57% and 60%， respectively.