A compensating oscillation device (2) for a linear piston system (1) is mentioned that comprises a housing (4), at least two coupling elements (10) and a inertial mass (8) that is coupled to the housing (4) by means of each coupling element (9) and is able to be deflected along an axis (7), wherein each coupling element (9) is attached on the housing (4) at at least one respective attachment region (26, 28) and to the inertial mass (8) at at least one respective connection region (18, 20). For this purpose it is provided that on each of the at least two coupling elements (9) the at least one connection region (18) to the inertial mass (8) lies radially closer to the axis (7) than the at least one attachment region (26) to the housing (4), and that in the rest state the inertial mass (8) is disposed between two coupling elements (9) in the axial direction. Moreover, a linear piston system (1) with a linearly displaceably supported piston (40) and a compensating oscillation device (2) of said type are mentioned.