The zeolite sorbents Cu+-13X and La/Cu+-13X were prepared by the ion-exchange method. Dynamic adsorption of 3-methylthiophene and benzothiophene on fixed beds of the adsorbents was studied. It was found that introducing a rare-earth element into 13X zeolite increases its adsorption capacity and selectivity for sulfur compounds and reduces adsorption competition. The effect of the adsorbent bed height, feed rate, and liquid phase/adsorbent contact time was studied. The best results are obtained for adsorbent bed height 14 cm, feed rate 14 mL/h, and liquid phase/adsorbent contact time 30 minutes.