We developed previously an emulsion gel adsorbent for improved metal adsorption. This study focuses on a continuous adsorption-desorption process of metal ions from a solution onto emulsion gel beads using the fixed-bed method. The monodisperse millimeter-sized emulsion gel beads, a polymeric hydrogel containing randomly distributed oil microdroplets of di-n-hexylsulfide as an extractant, were prepared using an automatic production method combining sedimentation polymerization and two-fluid atomization. The isotherms and the kinetics for Pd(II) adsorption were investigated. A continuous adsorption-desorption process was successfully demonstrated, and the breakthrough curve was successfully predicted by a mathematical analysis.