Linear damper for check valve

A damping system, for a valve with a flapper movable between an open position and a closed position, comprises a main body and a piston. The main body has at least an inner wall that defines a chamber having fluid therein. The main body is coupled to the flapper, and is configured to move therewith. The piston is disposed at least partially within the chamber. The piston is configured to move within the chamber in a direction opposite the direction of movement of the main body when the flapper approaches the open position or the closed position, to thereby compress the fluid in a section of the chamber and slow movement of the main body. Movement of the flapper is thereby slowed when approaching the open position or the closed position.