A process for producing a vibration isolator includes the steps of preparing an axial member, an outside member, the outside member including a cylinder-shaped portion and a bracket having a hollow, and a cylinder-shaped rubber elastic member, and drawing the cylinder-shaped portion by inserting a stationary mold, with which a drawing apparatus is provided, into the hollow of the outside member so that an outer peripheral surface of the cylinder-shaped portion contacts with the stationary mold, by disposing the rubber elastic member and the axial member inside the cylinder-shaped portion, and by pressing the cylinder-shaped portion onto the stationary mold and simultaneously diametrically reducing the cylinder-shaped portion to plastically deform the same. The production process can obviate the conventional pressed-in construction in which metallic members contact with each other, can make the manufacture of the vibration isolator easy, and can reduce the manufacturing cost.