A free piston Stirling engine has a hermetic vessel containing a displacer piston and a power piston coupled to each other and to the vessel by gas springs. An additional mass is coupled to the vessel by a gas spring which is tuned to the operating frequency of the engine geometrically. The vibration absorber is effective at all engine frequencies because the absorber gas spring follows the engine working gas mean pressure and changes the absorber natural frequency as the engine frequency changes.