The invention discloses a thermoelectric type flame-out protection plug valve of a gas stove and a gas stove. The plug valve of the gas stove comprises a valve body, a valve core and a valve rod, wherein an air inlet hole, an electromagnetic valve hole and a plug valve hole matched with the valve core are arranged in the valve body, the air inlet hole is communicated with the electromagnetic valve hole, an electromagnetic valve is arranged inside the electromagnetic valve hole, the inner side of the electromagnetic valve hole is communicated with the plug valve hole through a containing cavity, and a lever mechanism used for starting the electromagnetic valve is arranged in the containing cavity; and the valve rod penetrates through the valve core to abut against the lever mechanism, the valve rod is in a two-section type and comprises a switch rod and a downward-pressing rod, one end of the switch rod is arranged outside the valve body, one end of the switch rod penetrates through the valve body, is matched with the valve core along the axial direction in a sliding mode and is positioned in a rotatable mode, the switch rod is provided with a rotary locking piece used for being matched with the gas stove, the downward-pressing rod penetrates through the valve core, one end of the downward-pressing rod abuts against the lever mechanism, the other end of the downward-pressing rod is in linkage with the switch rod through a valve rod spring, and the limit distance of the rotary locking piece for the switch rod is larger than a limit displacement produced when the downward-pressing rod pushes the lever mechanism. The gas stove comprises a shell body and the plug valve of the gas stove, wherein the plug valve is installed on the shell body.