A plurality of viscoelastic layers in the form of rubber films are sandwiched between two constraint plates in the form of iron plates via polyamide adhesive films to form an alternatingly laminated structure. Materials of the respective elements are selected so that their degrees of elasticity satisfy the relationship: constraint plate>adhesive layer>viscoelastic layer. The thickness of each rubber film is limited below a predetermined value to maintain its thermal and pressure resistance, and the rubber films are laminated up to a total thickness required for obtain a desired vibration damping property. The vibration damper, thus obtained, is excellent in vibration property, thermal and pressure resistance, and resistance against oils and solvents, and effective even under a severe environment.