The device comprises two armatures one of which is for connection to a support and the other is for connection to a suspended element. A block of elastic material is interposed between, and defines with, the two armatures a closed enclosure. A partition wall provided with at least one calibrated orifice is mounted by the periphery thereof on a first of the armatures and divides the enclosure into two chambers. A liquid fills one of the chambers and at least a part of the other chamber. The partition wall has a part which is movable with respect to the first armature in a direction perpendicular to the mean plane of the partition wall. The first armature has a stop for limiting the extent of the movement of the partition wall.