Device for damping sounds which comprises a casing (11) around one or more sound-generating equipment items, and a sound-damping panel (20) via which air flows out from the casing. The sound-damping panel has a throughflow space (23) between a first wall (21) which faces towards the inside of the casing and a second wall (22) which extends along and at a distance from the first wall. The first wall has a plurality of apertures (24) for air to flow into the throughflow space. Diffusers (25) on the second wall directly opposite each aperture deflect the air which flows towards the second wall into various different directions in the throughflow space. At least some of the internal surfaces of the throughflow space are covered with sound-absorbing material (29). Air flows from the throughflow space to the surroundings via outlet apertures (31) of the sound-damping panel.