As the global demand for energy escalates, the increasing severity of environmental pollution underscores the urgent need for efficient development of hydrates—a promising, clean energy source with vast reserves. It is imperative to carry out reservoir stimulation on low-permeability hydrate reservoirs to enhance fluidity. In order to simulate the geometric morphology of complex fractures, based on the bifurcation fracture morphology in existing laboratory experiments, combined with embedded discrete fracture model and tree fractal theory, the multiphase and multi-component seepage mechanism, thermal conduction, thermal convection, and hydrate phase change in hydrate-bearing layers were comprehensively considered. Based on the TOUGH code, a TOUGH-EDFM module is developed to realize numerical simulation of three-dimensional four-phase four-component hydrate reservoir stimulation assisted depressurization development. We clarify the production capacity change characteristics, main methane dissociation zones, and gas-water migration trends after reservoir stimulation. The results indicate that in the multi-level branching fracture area, the increase in hydrate production in the primary fracture area of the reservoir is greater than that in the secondary fracture branching area. When the fractal scale factor is 0.56, the increase in production in the secondary branch fracture zone is 48% of that in the primary fracture zone. The cumulative gas production after the reservoir stimulation of Class III hydrate reservoirs can surpass that of the basic depressurization scheme by a remarkable 2.21 times, and the overall hydrate dissociation proportion has increased by 60%, indicating the ability of the reservoir to effectively utilize the energy within hydrate reservoirs, thereby significantly improving its depressurization development potential.