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In underwater sensor networks, localization is one of the most important issues because sensor nodes are considerably difficult to be deployed at determined locations. Localization schemes using a mobile beacon have fine-grained localization accuracy because one mobile beacon can replace a lot of static beacons. In localization with a mobile beacon, the movement of a mobile beacon determines the deployment of the beacons used for localization and the deployment influences the localization accuracy. To improve the localization accuracy for localization with a mobile beacon, the study on the path of a mobile beacon is necessary. In this paper, we propose a static path to improve the localization accuracy by considering the path of a mobile beacon and the deployment of the beacons. Simulation results show that the determined static path provides higher localization accuracy than a random path and other static paths.