The terminal of BDS GSMC (Global Short Message Communication) are usually covered by several satellites of BDS constellation. When initialing the GSMC services, how to select the most proper satellite in the group of several visible satellites as the access satellite is a challenge. To solve the Insufficient of existing satellite selection strategy with priority of elevation angle that the system is prone to congestion due to neglect of satellite prior knowledge, a shunting satellite selection strategy based on feedback adjustment is proposed. The proposed strategy makes full use of constellation resources through closed-loop feedback. The comparative simulation results of different strategies show that, when the number of users accessing per hour exceeds 250,000, the blocking rate of our method based on feedback adjustment is reduced by more than 2.5% compared with other existing strategies. At the same time, the standard deviation of the selection times of each satellite is reduced about 52 %, which effectively improves the success rate of user access and the utilization rate of satellite resources.