A combination product includes as active substances, at least an inhibitor of the HMG-CoA-reductase enzyme and citrulline, or a bioequivalent compound thereof, for treating excess weight or obesity and/or the accumulation of body fat. A cosmetic treatment method for improving or slimming the figure and/or for stimulating the loss of excess weight and/or of cellulite and/or for limiting the accumulation thereof, includes the administration of a combination product including as active substances, at least an inhibitor of the HMG-CoA-reductase enzyme or a physiologically acceptable salt thereof, and citrulline, or a bioequivalent compound thereof, or one of theirs analogues, and the renewal of the administration until the expected cosmetic effect is obtained. The combination product such as previously defined for improving or slimming the figure and/or for stimulating the loss of excess weight and/or of cellulite and/or for limiting the accumulation thereof is also described.