The three were identified as Murad al-Tarhouni, Muhammad Abu Sneineh, and Ahmad Abu Gharbieh, all between the ages of 13 and 14.
Police took the boys to al-Wad police station, then transferred them to al-Qashla station.
An Israeli police spokesman said he was not familiar with the arrests.
Israeli forces detained 31 children in the Palestinian territories throughout the second half of February, according to a report by the Palestinian Authority Ministry of Information.
Figures from the PA Ministry of Prisoners’ affairs show that there are 187 Palestinians under the age of 18 currently held in Israeli jails.
Some 5,200 Palestinians were being held in Israeli jails as of October 2013, according to the Palestinian Authority’s Ministry of Prisoners’ Affairs. Another 1,280 are in Israeli prisons for being inside Israel without permits.
Since 1967, more than 650,000 Palestinians have been detained by Israel, representing 20 percent of the total population and 40 percent of all males in the occupied territories.
The internationally recognized Palestinian territories of which the West Bank and East Jerusalem form a part have been occupied by the Israeli military since 1967.