Abstract: A method and a device are disclosed relating to the stabilization of mechanical bodies. The method is based on supporting the body to be stabilized at its mass center, whereby no acceleration in any direction causes a torque induced by the inertial forces in the body. The body thus maintains its position in relation to the earth gravity field, even if accelerations and various kinetic states were effective at the point of support. Inching of the body from the desired position is compensated by a slow control system using actuators functioning on a contact-free principle. As a particularly advantageous embodiment, the invention can be applied for stabilizing bodies attached to moving objects.