Syria ceasefire: 'No civilian deaths on first day'
UK-based monitoring group the Syrian Observatory for Human Rights said it had recorded no civilian deaths in the first 15 hours of the truce.
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Residents in the embattled northern city of Aleppo reported calm.
Separately, Israel denied on Monday that Syria had shot down one of its jets over the contested Golan Heights.
In a statement on state TV, Syria's military said it had downed a jet and a drone flown by Israel's military.
An Israeli military statement said: "Overnight two surface-to-air missiles were launched from Syria after the mission to target Syrian artillery positions. At no point was the safety of [Israeli] aircraft compromised."
'Sporadic attacks'
Some reports said the truce in Syria was broken by sporadic attacks carried out by both government forces and rebels after the ceasefire had come into effect.
The Observatory said they had seen reports of aerial bombardment of some villages in Hama province, and shelling near Damascus.
The Syrian army has said the truce will be applied throughout Syria for seven days, but that it reserves the right to respond decisively to any violation by armed groups.
A number of rebel factions have given a guarded welcome to the deal but expressed reservations about its implementation.
The Syria truce was described by US Secretary of State John Kerry as possibly the "last chance to save a united Syria".
The deal was struck on Friday in Geneva after months of talks between Russia and the US. It also requires both sides to allow unhindered access for humanitarian aid to besieged areas.
Humanitarian groups are hoping to make aid deliveries to the worst-hit areas, especially the war-torn city of Aleppo.
If the truce holds for seven days, the US and Russia will carry out co-ordinated air strikes on militant groups - including so-called Islamic State and Jabhat Fateh al-Sham (known until recently as the Nusra Front).
The opposition Free Syrian Army group has said that while it will "co-operate positively" with the ceasefire, it was concerned it would benefit the government.
Another major rebel group, the hardline Islamist Ahrar al-Sham, initially rejected the deal but later appeared to have softened its stance.
Opposition sources quoted by Reuters said a forthcoming statement supporting the cessation "with harsh reservations" would be backed by "the largest groups", including Ahrar al-Sham.
Speaking earlier, President Bashar al-Assad welcomed the deal but said the Syrian state was still "determined to recover every area from the terrorists, and to rebuild".
Big test for US and Russia: BBC Middle East editor Jeremy Bowen
The strength, or otherwise, of the ceasefire is a big test of what appears to be a less sour, more workable relationship between the foreign ministers of the US and Russia.
Diplomacy failed in the first, critical years of the war. A major reason for that was diplomatic deadlock between President Bashar al-Assad's ally, Russia, and the US, which demanded his immediate departure from office.
Since then Russia has become the most influential outside power in Syria. The US and its Western allies have struggled to keep up.
Perhaps Moscow is now ready to build on a ceasefire, if it lasts, to push President Assad towards a political transition that might end the war.
Or perhaps, as enemies of President Assad and the Russians believe, the ceasefire will be a chance to regroup and rearm.
Syrian children celebrate Eid in a warzone
The conflict in Syria, which began with an uprising against Mr Assad, has raged for five years and claimed the lives of more than a quarter of a million people.
More than 4.8 million have fled abroad, and an estimated 6.5 million others have been displaced within the country, the UN says.
Credit: BBC
