A tuned absorber (5A, 5B) for attachment to a railway rail (1) comprises a body (6) formed of elastomeric material and of at least one region of a first material, denser than the elastomeric material, located within the elastomeric material and forming an active mass (7m1, 7m2, 7m3). A member (8) of a second material denser than the elastomeric material is also located within the elastomeric material, adjacent to the active mass (7m1, 7m2, 7m3), for coupling to the rail (1) so as to provide a resonant surface against which the active mass (7m1, 7m2, 7m3) can vibrate. Alternatively, or in addition, a tuned absorber (5A, 5B) has a first active mass (7m1) and at least one further active mass (7m2, 7m3) arranged so as to be effectively coupled for vibration in a first frequency range and such that the or each further active mass (7m2, 7m3) is decoupled from the first active mass (7m1) for vibration in a second frequency range higher than the first. Alternatively, or in addition, attachment means for applying a securing force to maintain a tuned absorber (5A, 5B) in position on the rail web (1c) comprise a spring steel strap (40) having an overcentre device which locates on the rail foot (1b) and is operable, when snapped into a closed position, to apply a compressive force to the tuned absorber (5A, 5B).