In order to ensure that the upper platform of heave compensation platform is always in a relatively stable state during the movement of six hydraulic cylinders,a control strategy combining generalized predictive control with adjacent cross coupling control was proposed to realize the position synchronization control of six hydraulic cylinders.The generalized predictive control was used as the position controller of each hydraulic servo channel,and the adjacent cross coupling synchronous control mode was added,so the synchronous error between the hydraulic cylinder of each hydraulic servo channel and its adjacent two hydraulic cylinders was considered,a new control quantity was obtained,and six hydraulic cylinders were synchronously controlled;MATLAB was used to simulation.The results show that the system has faster response speed and better position control and synchronization control performance;the adjacent cross coupling synchronous control method based on generalized predictive control is applied to the heave compensation platform,by which the controller structure can be simplified and six hydraulic servo channels are coordinated,and the influence of load disturbance on the platform stability can be reduced to a certain extent.