The attacker was shot and killed by forces from an anti-terror unit.
Retaliatory Turkish artillery strikes deep into Syria have showed the speed with which the bloody civil war can destabilize an already volatile region.
"One has to say that according to the NATO treaty, it was an attack on a member of NATO, and that means France," deputy PM said.
Israel's Deputy PM said a deadly Syrian mortar strike on a Turkish town had to be considered an attack on a member of the NATO alliance.
Domestic intelligence agency said Milad Khatib, 26, was recruited in 2009 by a Lebanese Hezbollah operative
Israel accused him of spying on security for Israel's president.
An Israeli spokesman said it was unclear what the armed Syrians were doing.
Israelis are concerned that fighting from Syria's civil war could spill across the border.
"It looks like the disputes herald an election," the vice prime minister said.
Shai Agassi stepped down as chief executive of Better Place, the Israel-based electric car company he founded with great fanfare five years ago.