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The Kinematic GPS has cm level precision to estimate three-dimensional position of the moving target , but its observable distance is restricted to 20 km from the reference station on land. In the case to estimate the long period gravity wave by using several buoys, there are some troubles to observe the buoy's position owing to its distance restriction. Therefore, we used the velocity integration method which has no distance restriction from the reference station on land to observe the buoy movements (that is latitude , longitude and height of each buoy) as a integration of the velocity component of three dimensional direction by measuring the phase deviation. In this paper, we compared the buoy movement result of the kinematic GPS and the velocity integration method , and verified the effectiveness of the velocity integration method from the results of position error of each buoy used that. And also using the velocity integration method data, we applied the MUSIC method to estimate the propagating wave direction, especially the long period gravity wave giving many troubles for entering and departing ships in the harbor, and showed the MUSIC spectrum results of three waves.