In a balancing machine for the measurement of, and compensation for, any unbalance of rotors, with a sliding bearing for rotatably mounting a rotor to be balanced and a supply device for supplying the sliding bearing with a fluid, the sliding bearing includes a bearing shell with a hollow cylindrical bearing face mounting a rotor section having a cylindrical sliding face. The bearing shell is made of a hard ceramic material and the supply device is designed to supply the fluid in minimum amounts.