Roles of the active sites in zeolite Y interacted with methylthiophenes are disclosed. The oligomerization reaction of the methylthiophenes occurs on the active sites of the zeolites at 303 and 373 K. The RE(OH)2+ active sites in the REUSY significantly improve the oligomerization abilities. The oligomerization pathways are affacted by the activities and selectivities of the methylthiophenes in the protonation reaction.