Bearing construction based on at least three to six annularly arranged elastomer bearing elements, for resiliently bearing heavy machine parts, each elastomer bearing element being mountable and exchangeable individually without disassembly and reassembly of the entire bearing construction or parts of the associated machine, the bearing construction comprising three to six or more resilient bearings, a first flange which has an axial hole, and a second, opposite flange comprising one or more continuous holes, each bearing substantially comprising: a housing, an inner, non-resilient core which has a hole centrally, and an elastomer part consisting of one or more elastomer layers which are separated from one another by non-resilient layers, the bearings being arranged between the two flanges, and said flanges being clamped together by clamping means via axial holes in said individual components, characterized in that (i) the second flange has, on the side facing the bearing or the first flange, a depression which is arranged concentrically with respect to a hole and into which a correspondingly shaped part of the bearing is inserted and fixed in an exact fit under bias in the operation-ready state of the bearing construction, the bearing, during disassembly of the bearing construction to exchange said bearing, being able to be slid out of said depression into the space between the flanges and by increasing or decreasing the bias; (ii) the face, facing the flange, or an attached adapter part of the resilient bearing fitting exactly in said depression in the flange, at least the part of the hole that is oriented toward the flange being provided with a thread for receiving a mounting biasing bolt, by means of which the bearing can be biased by sliding into the depression during assembly, in the course of the exchange after removal of the clamping means; and (iii) at least one spacer disk, which is provided with a central hole, can also consist of two spacer disk halves, is clamped firmly between the flange and the bearing in the operation-ready state of the bearing construction and can be removed, during disassembly of the bearing construction, after removal of the clamping means, by reducing the bias in the bearing by means of the mounting biasing bolt, is introduced between the bearing and the flange. a housing, an inner, non-resilient core which has a hole centrally, and an elastomer part consisting of one or more elastomer layers which are separated from one another by non-resilient layers, the bearings being arranged between the two flanges, and said flanges being clamped together by clamping means via axial holes in said individual components, (i) the second flange has, on the side facing the bearing or the first flange, a depression which is arranged concentrically with respect to a hole and into which a correspondingly shaped part of the bearing is inserted and fixed in an exact fit under bias in the operation-ready state of the bearing construction, the bearing, during disassembly of the bearing construction to exchange said bearing, being able to be slid out of said depression into the space between the flanges and by increasing or decreasing the bias; (ii) the face, facing the flange, or an attached adapter part of the resilient bearing fitting exactly in said depression in the flange, at least the part of the hole that is oriented toward the flange being provided with a thread for receiving a mounting biasing bolt, by means of which the bearing can be biased by sliding into the depression during assembly, in the course of the exchange after removal of the clamping means; and (iii) at least one spacer disk, which is provided with a central hole, can also consist of two spacer disk halves, is clamped firmly between the flange and the bearing in the operation-ready state of the bearing construction and can be removed, during disassembly of the bearing construction, after removal of the clamping means, by reducing the bias in the bearing by means of the mounting biasing bolt, is introduced between the bearing and the flange.