The invention relates to a trans-epicutaneous pharmaceutical composition containing Rotigotin for effective treatment of Restless Leg Syndrome (RLS), especially in the form of a transdermal therapeutic system (TDS) based on acrylate or silicone having a surface of 2.5 - 20 cm<;2>; and containing 1.125 9.0 mg/cm<;2>; Rotigotin as an active component against Restless Leg Syndrome, which, according to the International Restless Leg Syndrome Study Group (IRLSSG) Rating Scale, results in an improvement in the conditions of human Restless Leg Syndrome patients in comparison with a placebo treatment of 2 units or more, after administration over a period of time of at least 8 days.