In this paper， based on the geological model of the first offshore natural gas hydrate production test of China， the production of nature gas hydrate reservoir after reservoir stimulation in the near wellbore area using depressurization was numerically studied through Tough+Hydrate. The influence mechanism of porous skeleton channel on gas/water transport， pressure drop propagation， hydrate decomposition was investigated， and the contribution of reservoir stimulation in the near wellbore area in different layers and in whole production process to productivity improvement was evaluated. The following simulated results were obtained. First， the gas/water velocity in the porous skeleton channel is high， which is helpful to diversion and sand control. Second， reservoir stimulation in the near wellbore area can promote the pressure drop propagation， and increase the decomposition rate of hydrate. However， the favorable effect of porous skeleton channel gradually decreases with the development of production. Third， the stimulation effect of reservoir stimulation in the near wellbore area in different layers is different， the result of three-phase layer is the most obvious. In this simulation， due to the small reservoir stimulation range and low permeability of the fracture， the increase in gas production is not obvious， the maximum increase was only 11.7 percent in two years when the height of porous skeleton channel is 50cm.