Since the youths disappeared from a hitchhiking stop in the southern West Bank on June 12, Israel has been rounding up hundreds of Palestinians in a bid to find them, while also dealing a crushing blow to the Islamist movement's West Bank network.
So far, four Palestinians have been killed in clashes sparked by the wave of arrests.
"Overnight, the forces detained 37 suspects and searched 80 locations, specifically in the area north west of Hebron, Beit Awwa (southwest of Hebron) and also in (the northern city of) Jenin," a spokeswoman said.
"Since the abduction 11 days ago, approximately 361 suspects been detained, 250 of them Hamas members, and 57 who were released during the Gilad Shalit prisoner exchange," she said, referring to detainees freed as part of a 2011 swap deal for a soldier held by Hamas.
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So far, there has been no claim of responsibility and no sign of the missing youngsters, although military spokesman General Motti Almoz said on Sunday that all information indicated they "are alive".
Palestinian president Mahmud Abbas has denounced the abductions and defended his security forces' ongoing cooperation with their Israeli counterparts to try to locate the missing boys.
Following hours of clashes with Israeli troops in Ramallah yesterday, the crowd began hurling rocks at a Palestinian police station, smashing the windows of two police cars.
Israeli rights groups yesterday wrote to Defence Minister Moshe Yaalon to denounce the crackdown which they branded "collective punishment" and a violation of basic rights.