Lebanese government sources confirmed to Arab News that it "will not coordinate with the Syrian government in any way regarding the transit of Lebanese trucks through this (Nassib) border toward the Gulf States".
The only crossing point between Syria and Israeli-controlled territory reopened Monday, an AFP correspondent reported, four years after closing due to the civil war on the Syrian side.
Regime troops recaptured it in July this year after rebels reached an agreement with Russian mediators to end the violence in the southern province of Daraa and surrender the crossing.
The crossing between Jordan and Syria, know as Jaber on the Jordanian side and Nassib on the Syrian side, was a vital trade and transport link between the two countries before Amman closed it after the post was taken by rebels in April 2015.
"It will ... help Lebanon [to trade] with the likes of Jordan and the rest of the Arab peninsula", Jamal Wakeem, a professor of history and worldwide relations at Lebanese University in Beirut, told RT, adding that "it will also help Lebanon overcome certain economic difficulties" it faces since the start of the Syrian crisis because it mostly relies on Syria "as a transit country in trade".
The area in Syria's Deir el-Zour province has been witnessing days of intense clashes between IS and SDF fighters amid bad weather and low visibility.
The UN, Israel and Syria agreed to re-open the crossing as part of an effort to allow UN Disengagement Observer Force (Undof) peacekeepers to carry out their mandate to maintain a decades-old ceasefire between Israel and Syria.More news: Meghan, Duchess of Sussex, and Prince Harry are expecting, says Kensington Palace
More news: Government Claims 'It's OK To Be White' Vote Was A Mistake
More news: Kiwis out to restore New Zealand's faith
Israel captured the Golan Heights in the 1967 war. The Kurdish-led forces, backed by USA -led coalition air power, continue to battle IS militants in Hajin, a small pocket east of the river.
The so-called Syrian Observatory for Human Rights (SOHR) said the Syrian families were kidnapped from a displacement shelter in Deir ez-Zor's eastern countryside.
The Syrian Foreign Ministry on Sunday called for an worldwide investigation into the "crimes" of the US -led coalition, following a recent attack with white phosphorus in Deir al-Zour, said local news agency.
The report said the attack left no causalities.
Syria's foreign ministry has resolutely condemned the use of white phosphorous bombs by the air force of the US-led coalition, SANA news agency said.
Since Wednesday, 37 SDF fighters have been killed in extremist counterattacks, the observatory said.
Images appeared on social media of the militants holding at least a couple of men wearing uniforms. The militants seized control of most of it in 2014. The civil war in Syria began more than seven years ago.