PPS said at the Qalandiya military checkpoint, in the central West Bank district of Ramallah, two Palestinians were detained.
At least 249 Palestinians have been killed by Israeli fire since then, the majority shot during clashes, though others have been hit by tank fire or air strikes.
Israel's internal security agency said Sunday that the slaying of a 19-year-old Israeli woman allegedly by a Palestinian near Jerusalem last week was politically motivated.
Meanwhile, a senior United States official said that Palestinian officials have been invited to a U.S. conference on the Middle East hosted by Poland next week where White House senior adviser Jared Kushner will discuss plans for peace between the Palestinians and Israelis.
Prime Minister Benjamin Netanyahu congratulated the security services for the speed with which they arrested "the abhorrent murderer".
In the Hamas-ruled Gaza Strip, meanwhile, thousands of Palestinians attended the funerals of the teenagers.
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Hassan Iyad Shalaby, 14, was shot dead by Israeli snipers at the fence separating Gaza from Israel.
In Gaza City, mourners buried Hamza Ishtiwi.
The military said it was aware of reports that a protester had been killed but could not confirm that the individual was a 14-year-old or what caused the death.
Shin Bet said the suspect left his home in the Palestinian city of Hebron carrying a knife, saw the victim in the forest and killed her. After months of mass protests, Israel announced the beginning of a "smart fence" construction along the border last week.
The spokesman said soldiers used riot dispersal equipment and opened fired "in accordance with standard operating procedures".
"Children are children. They must be protected at all times. Nor should they be exposed to any form of violence, by any party", UNICEF Middle East director Geert Cappelaere said in a statement.