The present invention relates to implants made of a biodegradable magnesium alloy. The inventive implant is made in total or in parts of a biodegradable magnesium alloy comprising:Y: 0-10.0% by weightNd: 0-4.5% by weightGd: 0-9.0% by weightDy: 0-8.0% by weightHo: 0-19.0% by weightEr: 0-23.0% by weightLu: 0-25.0% by weightTm: 0-21.0% by weightTb: 0-21.0% by weightZr: 0.1-1.5% by weightCa: 0-2.0% by weightZn: 0-1.5% by weightIn: 0-12.0% by weightSc: 0-15.0% by weightincidental impurities up to a total of 0.3% by weightthe balance being magnesium and under the condition thata) a total content of Ho, Er, Lu, Tb and Tm is more than 5.5% by weightb) a total content of Y, Nd and Gd is more than 2% by weight andc) a total content of all alloy compounds except magnesium is more than 8.5% by weight.