In this paper, a geometric model is established to study the problem of multi-beam sounding line deployment. In this paper, the index of multi-beam sounding is calculated firstly. The geometric model of the path of the acoustic signal transmitted by the measuring ship and the transducer of the measuring ship, the seabed slope and the plane perpendicular to the direction of the measuring line are established. The mathematical relationship between the coverage width W of multi-beam sounding and the overlap rate between adjacent strips is obtained, and the overlap rate between adjacent strips is calculated. Finally, the model is tested to meet the robustness and the model is correct. Secondly, this paper studies the coverage width W of multi-beam sounding. According to the two cases that the coverage width W has nothing to do with the slope of the seabed and the coverage width W has something to do with the slope of the seabed, the geometric models of the measurement ship, the path of the acoustic signal emitted by the transducer of the measurement ship, the seabed slope and the plane perpendicular to the direction of the survey line are established respectively, and the geometric model is tested. The model is correct.