Wave energy holds tremendous potential. Current mainstream wave energy converters (WEC) schemes primarily employ non-direct drive WEC, which reduce the utilization rate of wave energy due to intermediate conversion stages. This paper presents a hierarchical control method of direct drive WEC grid connected power generation with energy storage, which can realize output power control. Use a floating body directly drive linear permanent magnet generator (LPMG) to generate electricity. The mathematical model of the LPMG mover in different directions and speeds is analyzed in the dq coordinate system. By decoupling the dq equations and controlling the q-axis current command of the LPMG, maximum power tracking and machine-side rectification control are achieved. The challenge of wave power generation in grid connection is related to the fluctuation of the wave itself. This paper stabilizes the bus voltage by adding a battery energy system (BES) with bidirectional power flow on the DC bus side. In the grid-connected VSC inverter control, a dual closed-loop control of power outer loop and grid-side voltage and current inner loop is designed. The power outer loop can quickly control power output according to grid dispatch requirements. Simulation results validate the effectiveness of the proposed wave energy generation and grid-connected power control method.