The invention describes a fluid damper for furniture parts that are movable relative to one another, said fluid damper comprising a piston (4) guided movably in a cylinder (1) along a longitudinal axis. At least one through opening (4.1, 4.2) for fluid flowing through is provided in the piston (4) and/or between the piston (4) and cylinder (1). A sleeve (2) is arranged so as to be radially rotatable, relative to the piston (4) against a spring loading, about the longitudinal axis or about an axis running parallel thereto, which sleeve comprises, on its circumference, a number of wings (2.1, 2.2, 2.1′, 2.2′) corresponding to the number of through openings (4.1, 4.2). The spring loading is directed such that the wing (2.1, 2.2, 2.1′, 2.2′) exposes the through opening (4.1, 4.2) when the piston (4) is stationary in the cylinder (1) and in the event of a movement in a movement direction of the piston (4) and of the cylinder (1) relative to one another along the longitudinal axis, and progressively closes said through opening in the event of a movement against the movement direction with increasing relative speed between the piston (4) and cylinder (1) along the longitudinal axis. The fluid damper comprises a hollow-cylindrical part of the piston (4), which surrounds the sleeve (2) and the at least one wing (2.1, 2.2, 2.1′, 2.2′), which is arranged on the circumference of said sleeve, along at least part of the longitudinal axis thereof.