An exhaust system (3) of an internal combustion engine (2) is provided in a support structure (1), especially in a motor vehicle (1), with at least one exhaust pipe (8), which guides exhaust gas from the internal combustion engine (2) to the environment (4) of the support structure (1). At least one exhaust muffler (5) is provided which has at least one resonance volume (6) and at least one connection line (7), via which the respective resonance volume (6) is connected to the respective exhaust pipe (8) for transmitting airborne sound. A space-saving accommodation is obtained if at least one such resonance volume (6) is formed in a resonance chamber (9) arranged rigidly in or at the support structure (1) and if the respective connection line (7), with which the respective resonance chamber (9) is connected to the respective exhaust pipe (8), is designed as a flexible connection line and permits relative movements between the respective resonance chamber (9) and respective exhaust pipe (8).