To inhibit the slow rolling of a structure at a small value while quickly converging the rolling, and to increase strength against load in the horizontal direction when the structure such as a building structure, a civil engineering structure, etc., are to be supported in vibration isolation.

A plurality of elastic supporters 14, in which rubber elastic bodies 18 and stiffening plates 20 are laminated, are arranged on the surface to be supported of a structure 10 such as a building structure, a civil engineering structure, etc., and the structure 10 is supported in vibration isolation through the elastic supporters 14. A plurality of the elastic supporters 14 are arranged in inclined attitudes, in which elastic main shafts P in the compressive direction are inclined at specified angles θ to the central side of the structure 10 in the vertical direction, respectively at that time.