"Israel maintains full freedom of action on its borders we will not comprise on less than this", Education Minister and security cabinet member Naftali Bennett said Sunday on Israeli radio.
Meanwhile, Israel declared its support for the USA -led strikes against Syria.
The conflict in Syria remains a source of a major worldwide security concerns as "global powers are at play" there, and some regional actors, such as Israel, who also pursue their own aims in this situation, Ben-Shalom, an Israeli Lieutenant Colonel in Reserve and a columnist for the Jerusalem Post, told RT's Oksana Boyko.
The narrowly targeted pre-dawn military operation on Saturday took aim at three alleged chemical weapons facilities.
"The American attack is an important signal to the axis of evil - Iran, Syria and Hezbollah", Gallant said.
Netanyahu expressed his hope that Syrian President Assad would acknowledge that "his reckless efforts to acquire and use weapons of mass destruction, his wanton disregard for worldwide law and his provision of a forward base for Iran and its proxies endanger Syria".
Netanyahu said Israel would not allow Iran to establish itself in Syria, according to his office.
Syria, Iran and Russian Federation say Israel was behind an air strike on a Syrian air base on Monday that killed seven Iranian military personnel, something Israel has neither confirmed nor denied.
Two Israeli ministers said Sunday that their country will continue to act against the Iranian military presence in Syria.
"Israel gave full support to President [Donald] Trump's decision to stand against the use and spread of chemical weapons one year ago", he said, adding: "There is no change in Trump's determination and Israel's support in that issue".
Israel has sought to avoid direct involvement in Syria's civil war, but acknowledges carrying out dozens of air strikes there to stop what it says are advanced arms deliveries to Lebanese Shiite group Hezbollah, another of its enemies.