Majdal Shams, Golan Heights - Druze leaders in the annexed Golan Heights have distanced themselves from Israeli threats to retaliate against Lebanon's Hezbollah group for a deadly rocket strike on a Druze Arab town in the occupied territory.

Most of Majdal Shams' around 11,000 mainly Druze residents still identify as Syrian more than half a century after Israel seized the Golan Heights from Syria and later annexed it in a move not recognized by the international community.

On a visit to the town on Monday, Prime Minister Benjamin Netanyahu vowed Israel would deliver a "severe response" to the strike, which killed 12 children aged between 10 and 16 as they played football in the town on Saturday.

In a statement issued after his visit, Druze lay and religious leaders said the community rejects the "attempt to exploit the name of Majdal Shams as a political platform at the expense of the blood of our children."

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Noting that the Druze faith "forbids killing and revenge in any form," the community leaders said "we reject the shedding of even a single drop of blood under the pretext of avenging our children."

The Israeli military has said that the rocket which hit Majdal Shams was fired by the Lebanese group Hezbollah.

Hezbollah, which has traded regular cross-border fire with Israeli forces since the war on Gaza began last October, has denied responsibility for the strike, though it claimed multiple attacks on Israeli military positions the same day.

An AFP journalist reported that a semblance of normality had returned to Majdal Shams on Tuesday, with shops open and residents walking on the streets.

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But the Druze leaders said the whole community was still reeling from the children's deaths.

"The tragedy is immense, the impact is painful and the loss is shared by every household in the Golan," they said.

The violence on the Israel-Lebanon border since October has killed 22 soldiers and 24 civilians on the Israeli side, including in the annexed Golan, according to army figures.

At least 527 people have been killed on the Lebanese side, according to an AFP tally, including at least 104 civilians.

The US government has warned American citizens in Lebanon to develop a "crisis plan" amid fears of an escalation of violence.