The drum of a washing machine rotates at a high speed during dehydration work, while the clothes in the drum rotate together with the drum, yielding pressure on the drum wall which causes the drum to deform. With software Pro-E and ANSYS the finite element model of a washing machine drum with its support is established. Dynamic analysis of the drum structure in the case of dehydration work is carried out. The natural frequencies and vibration modes are obtained. The critical positions and the critical rotating speed are found. Some improvement suggestions for the washing machine drums are esented.