A bearing support of a throttle valve shaft within the housing of an exhaust gas line, comprising bearing sleeve means of cup-shaped construction for rotatably supporting the shaft on both sides, the housing being constructed conically within the area of the bearing sleeve means, with the inner cross-sectional surface of the housing within the area of a bearing sleeve means and the outer cross-sectional surface of the latter tapering in the same direction, the bearing sleeve means being retained in the axial direction against the housing by way of their outer surfaces by at least one spring means acting in the direction of the shaft longitudinal axis, each bearing sleeve means being retained by itself against the housing by means of a spring means supported at the housing, and a separate axial bearing means securing the shaft against axial displacement.