The invention provides a method and system for extracting natural gas hydrate through thermal jet flow. The method includes the steps that a combustion reaction device is lowered to a downhole target position of a natural gas hydrate reservoir, oxygen and fuel are injected into the downhole target position, the combustion reaction device is powered on, ignition is performed, combustion products are jet out of the combustion reaction device to form high-speed jet flow, the jet flow and heat generated during combustion act on the natural gas hydrate reservoir so that natural gas hydrate can be decomposed, and decomposed natural gas returns upwards to the ground; the amount of injected fuel is gradually reduced till injection stops, meanwhile part of the natural gas returning upwards to the ground and water are injected and mixed with oxygen for continuous combustion, and natural gas hydrate can be furthermore decomposed. The system at least comprises the combustion reaction device, a continuous oil tube inner tube, a continuous oil tube outer tube, a cable, a production sleeve, a water supply device, a fuel supplying device, an oxygen supplying device, a natural gas storing, collecting and supplying device and a pump set. The method and system for extracting natural gas hydrate through thermal jet flow have the advantages that extracting cost is low, extracting efficiency is high and the system structure is simple.