An EGR valve device includes a valve housing having one or more exhaust-gas inlet ports and two or more exhaust-gas outlet ports, and forming an exhaust-gas passage communicated with these exhaust-gas inlet ports and exhaust-gas outlet ports; two valve-sheets disposed on the inner peripheral face of the valve housing; a valve shaft assembled into the valve housing; and two valves secured on the valve shaft, and simultaneously abutting on the respective valve-sheets when the valve shaft moved in one direction. It is arranged that the valve housing is formed of material having an axial thermal expansion coefficient larger than that of the valve shaft, and that the distance between the two valve-sheets is set so as to equal with that between the valves at the normal temperature.