Jordan is heavily reliant on imports and foreign aid, much of which used to pass through Syria. It is also expected to boost its coffers as the government is expected to collect transit fees from convoys coming from Jordan. Last month, it hiked fees for all trailers transiting through its territories.
The 22-member Arab League froze Syria's membership following the start of the civil war in 2011, which was followed by sanctions and the severing of diplomatic ties.
Jordanian cargo is also allowed to leave for Syria in accordance with the agreement, the Petra news agency said.
"Our only concern was for this crossing to reopen because there were many families split up between here and there", Taweel said, standing beside a portrait of Syrian President Bashar Assad.
According to an agreement between Jordan and Syria seen by AFP, the traffic of passenger and goods at the border crossing will resume daily from 0500 GMT to 1300 GMT.
The Lebanese Minister of Agriculture in the caretaker government, Ghazi Zu'aitir, said that "opening the Nassib crossing serves the interest of Lebanese exporters and that communication with the Syrian side is continuing at the level of ministers concerned on this issue".
It added that IS gunmen seized civilians by force and took them to areas in the last pocket of territory they control in the region.
He stresses it is in the interest of the peoples of both Syria and Jordan to reopen them, regardless of political considerations or past animosities.
The UN force returned to the area after Syrian government forces, backed by Russian Federation, succeeded in recapturing territory near the Golan Heights and driving out armed militant groups from a "de-escalation zone".
Before it was closed, the Quneitra crossing was mostly used by the United Nations force patrolling the buffer zone.
On Monday, Taweel was among a handful of Druze men and dozens of others who attended a ceremony on the Syrian side of the crossing.
Israel captured the Golan Heights, some 1,200 sq.km. from Syria during the 1967 Six Day War, and unilaterally annexed the plateau in 1981.
UNDOF had withdrawn from the area in 2014 when Al-Qaeda-linked rebels overran the area. It also reinforces the Syrian government's message that it is slowly emerging victorious from the seven-year conflict.
Regime forces recaptured the Quneitra area in July.
Government forces, aided by Russian air craft and allied militia, chased IS fighters out of the city and most of the western banks of the Euphrates river a year ago.
"We are now witnessing the early fruits of victory", Syrian Foreign Minister Walid al-Moallem said at a press conference in Damascus.
The US-led coalition has spread flayers over the Hajin enclave, east of the Euphrates river, in which it called the area's people to leave it, in sync with the battles against the "Islamic State" (ISIS).
The Syrian government has for long called for ending the presence of the USA -led coalition on Syrian soil.