A bellows accumulator, in particular a pulsation damper, includes a bellows (3) arranged in an accumulator housing (1) and separating two media chambers (27, 28) from each other. Bellows folds (19) of the bellows can be moved at least partially along the inner wall (35) of the accumulator housing (1). The outside diameter of the bellows folds (19) is selected to be slightly smaller than the associated diameter of the inner wall (35) of the accumulator housing (1) in such a way that spaces (37, 41) are formed, which spaces together form a hydraulic damper for at least one medium.