An electromechanical motor assembly includes a stator, a body to be moved and a stator support. The stator has a plurality of electromechanical actuators for moving the body by repetition of steps ensuring that at least one of the electromechanical actuators is in non-sliding contact with the body at every time. The assembly further includes a force applying arrangement for supplying a normal force (N) between the stator and the stator support by at least one spring arrangement. The spring arrangement has a spring constant in the direction (Z) normal to the surface of the body that is lower than 5% of the ratio between the normal force and the average height uncertainty of the surface of the body. The force applying arrangement includes a lateral fixing plate attached between the stator and the support parallel to the main motion direction (X) and juxtaposed to the surface of the body.