The invention discloses an experiment device for synthesizing a marine natural gas hydrate sample. The device comprises a reaction kettle, an axial compression piston, a kettle outer jacket, an injection system, an axial compression control system, a confining pressure control system and an output system. The invention further discloses an experiment method adopting the experiment device for synthesizing the marine natural gas hydrate sample. The method comprises the steps that firstly, ice powder particles are manufactured, then, the ice powder particles and dried porous medium particles are mixed and placed into the high-pressure reaction kettle in the subzero low-temperature environment so as to simulate seabed geomechanical properties, then, methane is injected to generate a hydrate, ice is directly converted into the hydrate, and finally free gas inside the reaction kettle is removed through the liquid injection system. According to the experiment device and method, true marine natural gas hydrate samples which are hard to obtain on various geological conditions and various occurrence form conditions can be economically, efficiently and accurately obtained, the research on the hydrate is closer to the reality, and the experiment basis is provided for research of natural gas hydrate exploitation.