An adaptive phase-locked fiber laser array with piston and tip-tilt error correction capability is investigated. The propagation performance of the adaptive phase-locked fiber laser array in different turbulent atmosphere is numerically studied by using multiple phase screen method. BPF is introduced as beam quality factor to study the effect of turbulence atmosphere on the propagation performance quantitatively. The influence is neglectable and the field intensity distribution remains unchanged compared to free space when the intensity of turbulence is weak (C2n=1×10－15 m－2/3, propagation distance z=10 km, coherence length=4.3 cm). The BPF value becomes 86% and 70% of the idea case when C2n=5×10－15 m－2/3 and 1×10－14 m－2/3 (corresponding coherence length are 1.6 cm and 1 cm, respectively), while the BPF value for the fiber laser array propagating in the same atmosphere without correcting piston and tip-tilt error are 55% and 38% of the idea case. The calculation results reveal that the energy centrality can be advanced evidently by the adaptive phase-locked fiber laser array.