Abstract: A self-acting gas- dynamic or hydrodynamic bearing support for units rotating with a speed of about 10,000 rpm or higher consists of a stationary shaft (16) and a rotating bearing member (20) put on shaft with a radial gap of about 1 to 2 .mu.m. A distinguishing feature of the bearing support of the invention consists in that bearing member (20) is made of a wear-resistant ceramic and the thrust members (12 and 14) and the shaft (16) are made of steel with wear-resistant coating. The difference in coefficients of linear thermal expansion of steel and ceramic is advantageously used in assembling for self-positioning of the thrust members strictly perpendicular to the shaft and strictly parallel to each other and to the end surfaces of the bearing member. The invention also concerns a method of assembling of the bearing support.