A set of experimental equipment for quenching the deflagration flame in linked vessels with parallel narrow channels was proposed. The quenching effects of the deflagration flame in the linked vessels were investigated, the influence law and mechanism of parallel narrow channels on the deflagration flame was analyzed. The results showed that the Pmax and the (dP/dt)max at each position were both lower than without parallel narrow channels, which indicated that the propagation of flame was inhibited by parallel narrow channels effectively, and the explosion intensity was also reduced. The pressure oscillation phenomenon inside the linked vessels disappeared due to the inclusion of parallel narrow channels. The deflagration flame was successfully quenched when the channel gaps were 0.5, 1.5, and 3 mm, but failed to be quenched when the channel gap was 6 mm. The quenching distance and the average propagation velocity of the deflagration flame in parallel narrow channels increased with the increase of the channel gap. When the channel gap was 6 mm, the deflagration flame completely passed through parallel narrow channels, and the average propagation velocity of deflagration flame was significantly greater than that when the deflagration flame was successfully quenched.