The range accuracy of the Gm-APD laser ranging system is limited by the random arrival time of the echo photons,while the turbulence effect aggravates this randomness,which will reduce range accuracy of the system. Based on the modulated Poisson model of the echo photons in the Gm-APD,the detection probability distribution of each time bin in the range gate was analyzed. Utilizing the normalized probability distribution in the recognizable region of echo photons,the theoretical model of the range accuracy was established,and the influence of the turbulence effects on the range accuracy was investigated. The results show that the turbulence effects decrease the detection probability and the range accuracy,when the turbulence parameter is selected as 2.5 and the echo intensity is 1,compared to the case without turbulence effects,the range accuracy and precision decrease by 4.2 cm and 14 cm,respectively,and stronger turbulence degree will lead to lower target detection probability,higher false alarm rate,worse accuracy and precision.