Adsorption and desorption of95Zr−95Nb,99Mo,103Ru,132Te and239Np in a HCl-alumina system were studied in order to purify99Mo and132Te obtained by the cation-exchange separation of fission products and to prepare highly pure99mTc and132I generators.99Mo and132Te, of which radionuclidic purity was over 99.99% and 99.999%, respectively, could be obtained by passing the cation-exchange separated Mo and Te fractions through alumina columns, by washing with HCl and finally by eluting99Mo with 1M NH4OH and132Te with 3M NaOH. In order to raise the recovery of99Mo and132Te from the alumina columns, they should be eluted as quickly as possible after the adsorption. The direct use of the alumina column containing99Mo or132Te as the generator allowed milking of99mTc or132I, of which radionuclidic purity was over 99.999%. Milking yields of99mTc with 0.1M HCl and132I with 0.01M NH4OH were 77% and 90%, respectively. The latter value was much higher than that in usual performance of the generator.