The bus was returning to Ramallah from a school trip. The children are students at Shuhadaa Silwad school in Ramallah.
Abu Arab said that the bus was released after two hours.
An Israeli army spokeswoman said she was looking into the incident.
Israeli authorities regularly detain Palestinians for alleged stone throwing incident.
Last March marked two years that five boys from the northern West Bank village of Hares have been held under administrative detention over such allegations.
Despite heavily contested evidence, the boys, aged 16 to 17 at the time of their arrest, each face 20 charges of attempted murder and potential life imprisonment for allegedly throwing stones.
“Hares Boys,” an activist blog dedicated to raising awareness of their case, wrote: “If the boys are convicted, this case would set a legal precedent which would allow the Israeli military to convict any Palestinian child or youngster for attempted murder in cases of stone-throwing.”
According to Military Court Watch, there were 182 Palestinian children in Israeli detention as of Feb. 28, 2015, including 25 children aged 15 or younger, nine more than the previous month.