The invention relates to a narrow tape gluing device. The narrow tape gluing device comprises a mounting plate arranged on an assembly line, the mounting plate is provided with a discharging control mechanism, a receiving control mechanism and a gluing mechanism, the gluing mechanism is located below the discharging control mechanism and the receiving control mechanism, the receiving control mechanism is provided with a winding disc, a motor for controlling the winding disc in the winding of release paper, and a winding friction stabilizer for preventing the release paper from being broken, the winding friction stabilizer comprises a movable guide wheel capable of moving up and down, a balancing weight connected with the movable guide wheel, and an upper limit sensor and a lower limit sensor which are used for controlling the start or stop of the receiving control mechanism by sensing the upper limit and the lower limit of the balancing weight. The narrow tape gluing device is suitable for a narrow tape, can provide constant unwinding tension, can greatly reduce breakage times of a tape, and has good gluing effect; and the invention further provides a full-automatic mirror cabinet edge gluing machine based on the narrow tape gluing device.