The hydrodesulfurization (DBT) were Peformed over NiPtMo catalysts supported on HZSM-5, LaY and ${gamma}$- $Al_2$O$_3$under high H$_2$ pressure. And the acidities of these catalysts were characterized by using TGA and DSC. The result showed that the order of the acid strength for prepared supports was HZSM -5＞LaY＞${gamma}$- A1$_2$O$_3$. For the acid amount we obtained the same result for the acid strength The acid strength and the acid amount mainly depended on the kinds of supports whose acid site were strong or not The activity of the hydrodesulfurization decreased for catalysts which had strong acid sites. The origin of acid site was Bronsted in NH50 and NY catalysts And it was Lewis in NA catalyst The order of desorption activation energy for Pyridine was NH50＞NY>NA. And the result was the same for thiophene. The activity of the hydrodesulfurization decreased for catalysts which had strong acid sites. The conversion of DBT over NA catalyst was higher than NH and NY catalysts.