Writing on Twitter in Arabic, Jordanian Foreign Minister Ayman Safadi said the Syrians were allowed into the country following written commitments that Germany, Britain and Canada would resettle them following the operation.
There are those such as UK Foreign Secretary Jeremy Hunt who has heaped praise on the organization - which is funded heavily by the UK government - claiming Saturday night's evacuation carried out by Israel was "fantastic news" as the White Helmets were the "bravest of the fearless".
"White Helmets have been the target of attacks and, due to their high profile, we judged that, in these particular circumstances, the volunteers required immediate protection", it said.
"The White Helmets" organization was founded in Turkey in 2013 by former British MI5 officer James Le Mesurier. Israeli media said the prime minister pressed for, among other things, keeping pro-Iranian forces in Syria at least 60 miles from the Israeli border.
State TV said 10 buses entered a village in Quneitra on Thursday night for the evacuation of those insurgents "who refuse to settle with the state" towards rebel territory in the north. The US, while welcoming the evacuation of White Helmets in a statement penned by the State Department, didn't seem to be in a rush to welcome its members on its soil.
Israel's Galei Tzahal radio station said that 800 people had been evacuated to Jordan from southern Syria, where government forces continue an operation against opposition units.
It added that the White Helmets supported "terrorists" and that the world had been warned of the group's "dangers", according to Syria's state news agency Sana.
The White Helmets are western-funded and gained worldwide acclaim in 2016 when a United Kingdom documentary on the group won an Oscar. They are authorized to remain in Jordan for a maximum of three months.
This was the first such Israeli intervention in Syria's lengthy civil war, now in its eighth year.
Also on Sunday, hundreds of Syrian "White Helmet" rescue workers and their families fled advancing government forces and crossed into the occupied Golan Heights, before arriving in Jordan with the help of Israel and Western allies.
"They are now being assisted by the UNHCR in Jordan pending global resettlement".
Smoke following the explosions in Syria is seen from the Israeli-occupied Golan Heights near the Israeli Syrian border, July 19, 2018.
Piazza said Putin has made Syria the showpiece of its resurrection as a global superpower - and a player in the Middle East. "They acted exclusively on territories under the control of Islamic radicals, staged blatant falsifications, which were used then as a pretext to raise accusations against the Syrian authorities", the ministry stated. Jordan hosts at least 650,000 registered Syrian refugees, according to the United Nations, but Amman says a similar number of undocumented Syrians are also in the kingdom.
"All sides benefit from giving the losing team a safe exit", he said.
Syrian state television said on Sunday an Israeli air strike hit a military post in the city of Misyaf in Syria's Hama province but caused only material damage. The area houses several defense ministry facilities.