The formation of 16~ 159Dy and 149Gd employing natural dysprosium as target and its irradiation with a-particles was the objective of this work. This is included in a study performed by our group on excitation functions of induced reactions for charged particles on rare earths. A target with metallic foils of Dy was irradiated in the Isochronous Cyclotron at Karlsmhe (Germany) with incident energy up to 88.5 MeV. Due to the contributions of the precursors in the isobaric chains, we were not able to measure the absolute cross sections. Then, the determination of the cumulative cross sections were carried out. Thick target yields for the production of 16~ 159Dy and 149Gd are also presented. At present we do not know other publications about the functions studied in this work.