The world must hold the Israeli Government accountable for its actions, the official said in a statement.
Shtayyeh warned about the serious consequences of these crimes committed by Israeli soldiers.
The Palestinian Ministry of Health reported the death on Saturday morning of 17-year-old Amjad Fayed, who was shot by soldiers, and serious wounds inflicted on a 18-year-old man during a raid in the city of Jenin.
According to Palestinian security sources, the incident occurred on Haifa Street, when soldiers opened fire at residents who were protesting against the new offensive.
The Israeli police justified the repression by saying that stones and Molotov cocktails were thrown at the soldiers.
Jenin has been the epicenter of a campaign by Israeli forces since last month, as a result of which an Israeli police officer and a number of Palestinians, including reporter Shireen Abu Akleh, have been killed.
The reporter was shot in the head while she was covering a raid in this city, an action that unleashed a wave of criticisms by the international community against Israel.