Abstract: Arrangement for damping linear movements intended for use on a safety valve. An arrangement for damping linear movements of the valve spindle (10) of a safety valve of small amplitude and high frequency comprises two counter-rotatable damping parts (18, 36) with intermeshing wall (22, 24, 32) which delimit narrow working gaps (44, 46) containing a high-viscosity silicone grease. The linear intake movement is converted by a threaded drive (12, 40) into a rotary movement during which the silicone grease (47) in the working gaps (44, 46) is subjected to shear forces and eliminates the unwanted energy by virtue of its internal friction.