In a muffler duct including a duct body and a resonance box, the inside of the duct body and the inside of the resonance box are made to communicate directly with each other not through a cylindrical member. In the partition wall of the resonance box, a gas vent opening portion, which is composed of a gas vent opening having a through hole shape and a gas-permeable member having a gas vent passage of a labyrinth shape for covering said gas vent opening, is formed at a position to confront a communication opening, through which the inside of the duct body and the inside of the resonance box communicate with each other.