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With the rapid economic and social development, a large number of dredged materials produced by marine engineering have been randomly dumped into the ocean, which is easy to cause the imbalance of marine ecosystem. As a technical means of marine supervision, the marine dumping supervision system has played a significant role in marine dumping supervision. If the data sent by the dumping ship to the marine dumping supervision system fails to be processed, there will be excessive trajectory points on the display interface of the marine dumping supervision system, which will lead to unclear trajectories of the dumping ship. This paper investigates the step method of curve thinning algorithm. It also verifies and discusses the reduction of ship trajectory points by data thinning algorithm. According to the parameter type of data, time interval, water level change and distance change are selected as the parameters of the data thinning algorithm to study the reduction of ship trajectory points under different parameter values. The experimental findings show that the amount of data after data thinning algorithm is reduced by more than 95% compared with the original data, and the trajectory formed by the data points is basically the same as it formed by the original data points. On the premise of ensuring the trajectories of dumping ships, the data thinning algorithm can effectively reduce the amount of original data, which makes the display interface of marine dumping supervision system simple and clear, and meets the requirements of marine dumping supervision.