Motor support suitable for supporting, damping the vibrations thereof, a motor group to a side rail of a chassis of a motor vehicle, engaging a bracket of said motor group, comprising: - a main body which extends in height along an axis (X-X), starting from a base, presenting an entrance mouth, suitable for being attached to the side rail, said main body being a hollow shell made in a single piece to contain and protect hydroelastic bracket support means, where the main body presents: i) an inner cavity, accessible from said entrance mouth, which extends in height along the axis (X-X) inside the main body starting from the base; ii) a side aperture, transversal in relation to the axis (X-X) and in relation to the inner cavity, suitable to permit the housing of the bracket; - hydroelastic bracket support means housed inside the inner cavity, insertable therein through the entrance mouth, suitable to engage the bracket housed though the side aperture to support it and to dampen the movements thereof; the motor support further comprises: - a cover suitable to close, at least partially, the entrance mouth and to retain the hydroelastic bracket support means in the inner cavity, said cover holding the hydroelastic bracket support means stacked inside the inner cavity of the main body, characterized in that said cover is elastically loading said hydroelastic bracket support means. - a main body which extends in height along an axis (X-X), starting from a base, presenting an entrance mouth, suitable for being attached to the side rail, said main body being a hollow shell made in a single piece to contain and protect hydroelastic bracket support means, where the main body presents: i) an inner cavity, accessible from said entrance mouth, which extends in height along the axis (X-X) inside the main body starting from the base; ii) a side aperture, transversal in relation to the axis (X-X) and in relation to the inner cavity, suitable to permit the housing of the bracket; i) an inner cavity, accessible from said entrance mouth, which extends in height along the axis (X-X) inside the main body starting from the base; ii) a side aperture, transversal in relation to the axis (X-X) and in relation to the inner cavity, suitable to permit the housing of the bracket; - hydroelastic bracket support means housed inside the inner cavity, insertable therein through the entrance mouth, suitable to engage the bracket housed though the side aperture to support it and to dampen the movements thereof; the motor support further comprises: - a cover suitable to close, at least partially, the entrance mouth and to retain the hydroelastic bracket support means in the inner cavity, said cover holding the hydroelastic bracket support means stacked inside the inner cavity of the main body, characterized in that said cover is elastically loading said hydroelastic bracket support means. - a cover suitable to close, at least partially, the entrance mouth and to retain the hydroelastic bracket support means in the inner cavity, said cover holding the hydroelastic bracket support means stacked inside the inner cavity of the main body, characterized in that said cover is elastically loading said hydroelastic bracket support means.