A mount for isolating a vibrating member from its support. In several embodiments an elastomeric element is made up of four components that are preferably bonded to the inclined outer surface of an inner member and the inclined inner surface of an outer member. One of the inner and outer members is bifurcated and drawing the two halves into mating engagement results in the elastomeric components being preloaded simultaneously in compression and shear. The elastomeric element is preferably formed with portions which snub movement in each of three orthogonal directions. The dimensions of the pair of elastomeric components above or below the vibrating member may be different than the other pair due to greater compression strain on one pair of components to maintain maximum design stress levels. In another embodiment, the inner and outer members are each a single component with four elastomeric elements bonded between metal plates and preloaded between the inner and outer surfaces of the members in an X-like configuration. In still another embodiment of the X-configuration the metal plates have turned-out ends for gripping the members. The inclined surfaces have grooves for preventing, in concert with the turned-out ends, displacement and complete dislodgment of the inner member. The base of the outer member alternatively has extended sides for reducing bending stresses in the bolts which fasten it to the support.