We have developed a laser isotope separation technology for the production of the 168 Yb and 176 Yb isotopes. 168 Yb is very useful for the generation of a non destructive testing source, 169 Yb. 176 Yb can be used to produce 177 Lu which is known to be a promising radioisotope for a medical application. For these applications, the abundances of 168 Yb and 176 Yb isotopes should be enriched to more than 15% and 97%, respectively. Our developed system consists of three dye lasers pumped by a diode-pumped solid-state laser, a Yb evaporator, and a photo-ion extractor. Up to now, we could enrich 168 Yb to more than 31% with a productivity of 0.5 mg/h. Also, we succeeded in enriching 176 Yb to more than 97% with a productivity of 27 mg/h.