"There were two explosions on the Israeli side of the Hermon, we are examining the incident," she said. "We believe this was a result of the domestic situation in Syria."
The spokeswoman said the popular site, which is in the Israeli-occupied Golan Heights, was closed for visitors, and that Israel had notified the United Nations force in the region about the incident.
The Golan has been tense since the beginning of the conflict in Syria more than two years ago.
Last week there were three incidents of gunfire coming from Syria and straying across the ceasefire line.
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Tensions have been particularly high after Israel carried out air strikes near Damascus on May 3 and 5, angering Syria which said it would "respond immediately" to any new Israeli raids inside its territory.
Yesterday, Israeli Prime Minister Benjamin Netanyahu met with Russian President Vladimir Putin in a bid to prevent Moscow from delivering advanced S-300 missiles to Damascus which would severely complicate any future air attacks against the regime of President Bashar al-Assad.
Israel, which is technically at war with Syria, seized 1,200 square kilometres (460 square miles) of the strategic Golan Heights during the 1967 Six Day War, which it later annexed in a move never recognised by the international community.
The United Nations Disengagement Observer Force has been stationed in the Golan since 1974 to oversee a ceasefire.