In this investigation after leaching rhenium from flue dust molybdenite and contact with Amberlite ion exchange resin perrhenate and molybdate ions adsorb to the resin. In the first stage of desorption, molybdenum was carried out by solution with different concentration of sodium hydroxide, chloridric acid and potassium oxalate and in the second stage of desorption, rhenium by solution with different concentration of perchloric acid, nitric acid, chloridric acid, sulphuric acid, ammonium thiocyanate and ammonium nitride.In extraction by ion exchange resin, in the stage desorption of molybdenium aim is to determin the conditions in order to have the most desorption was for molybdenum and the least was for rhenium and in the stage desorption of rhenium aim is to determin the conditions in order to have the most desorption was for rhenium. After batch experiments the most amount desorption of molybdenum was obtaind 91.1% by 7M sodium hydroxide and the most amount desorption of rhenium was also obtaind 79.3% by 1M perchloric acid.