The atutude stability of an asymmetrical liqind-filled satellite with a flexible barin the gravitational field by using the Energy-Casimir method is discussed in presentPaper. Asufficient condihon of stability of the relative equllibritim of the rigidelashc- liquld system in the orbtal coordinates is obtained. It is shown that thestablity condihon for such a system has a formal idenhty with the condihon of arigid satellite in the gravitahoal field.