To study the heave motion of multi-fishing vessels anchored side-by-side with bow and stern anchors, and to analyze the relationship between their maximum downward heave and wave height. A physical model test was employed to study the heave motion of single, double, triple, and quadruple fishing vessels anchored together. The research focused on analyzing the impacts of wave period, wave incidence direction, the number of anchored vessels, and vessel position on the heave motion under both pure wave action and combined wind and wave action. The results show that, for single-vessel anchoring, the maximum downward heave is approximately 0.5 to 0.8 times the wave height for wave directions of 90° and 45°, and approximately 0.25 to 0.65 times the wave height for a wave direction of 0°. When two vessels are anchored together under the action of pure 90° waves, the maximum downward heave is approximately 0.3 to 1.1 times the wave height. For three or four vessels anchored, it is approximately 0.5 to 1.2 times the wave height. Under combined wind and wave action, the maximum downward heave of a single vessel is about 0.4 to 0.6 times the wave height, 0.6 to 0.8 times for two vessels, and 0.8 to 1.2 times for three or four vessels. The research findings provide a reference for ensuring the safe and stable anchoring of fishing vessels within harbors.