A shock suppressing device adapted to be attached to the aft end of a shoulder-fired rocket launcher. The device comprises a cylindrical housing defining a substantially enclosed expansion chamber having a diameter and cross-sectional area greater than that of the exhaust end of the launch tube. A plurality of annular baffles extend radially inwardly from the cylindrical housing and define aligned through openings through which a plug from a rocket being launched can be emitted rearwardly from the launch tube. The initial shock which follows the expulsion of the plug from the rocket is spread outwardly into the expansion chamber to engage the baffles therein. The baffles suppress the shock by absorbing a substantial portion of the energy of the shock wave, and also partially reflecting the shock wave in an upstream direction toward the launch tube. In the preferred form, the housing is made of several members which telescope together for storage, and are pulled out to an expanded position for use.