Israeli Arab MPs condemned the legislation, but Prime Minister Benjamin Netanyahu praised it as a "defining moment".
"Today, I will have to tell my children, along with all the children of Palestinian Arab towns in the country, that the state has declared that it does not want us here", Odeh said in a statement following the law's passage.
Israeli Prime Minister Benjamin Netanyahu attends the weekly cabinet meeting at his office in Jerusalem, July 8, 2018.
Jeremy Ben Ami, president of J Street, a Washington liberal pro-Israel group, said the bill's goal is "to send a message to the Arab community, the LGBT community and other minorities in Israel, that they are not and never will be equal citizens".
In a clause that set Arab lawmakers off, the bill explicitly states that "the right to exercises national determination in the State of Israel is unique to the Jewish people".
Education Minister Naftali Bennett, leader of the ultra-nationalist Jewish Home Party, said Breaking the Silence, "had crossed the line of legitimate dialogue a long time ago when they chose to slander the State of Israel in the worldwide arena".
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The other attack occurred in the neighboring town of Brookhaven, in the waters off Sailors Haven Beach, an Islip spokesman said. The boy "stumbled out of the water" into a lifeguard tent, where the lifeguard dressed puncture wounds, officials said.
"Israel is the nation state of the Jewish people that respects the individual rights of all its citizens".
After the vote, Arab lawmakers tore up what they called an "apartheid law, a racist law".
"I repeat this is our state".
Isaac Herzog, the head of the main opposition Zionist List political alliance, said in parliament that history will determine whether the law harms or benefits Israel.
Adalah, the Legal Center for Arab Minority Rights in Israel, called the law a bid to advance "ethnic superiority by promoting racist policies".
"This is a defining moment for the State of Israel", said Netanyahu, speaking in the plenum after the law was passed.
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The US president added: "I would rather take a political risk in pursuit of peace than to risk peace in pursuit of politics". Mr Putin said. "This is utterly ridiculous".
Breaking the Silence's Yehuda Shaul said a last-minute change to include all organizations that act to promote "political proceedings against the State of Israel" made the law particularly problematic.
Opponents of the new bill say it marginalizes the country's Arab minority of around 20 percent and also downgrades Arabic language from official to "special" standing.
Two other laws also approved this week deal with the rights of Palestinians, not citizens of Israel, who live in the West Bank and the groups that advocate for them.
It also bemoaned another clause that says Israel views Jewish settlement as a national value, which AJC said can be seen as a "euphemism for the originally proposed endorsement of support for Jewish-only communities in Israel".
"I announce with shock and sorrow the death of democracy", Ahmed Tibi, an Arab politician, told reporters.
Israel's Arab population is comprised mainly of descendants of the Palestinians who remained on their land during the conflict between Arabs and Jews that culminated in the war of 1948 surrounding the creation of the modern state of Israel.
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Those who remained have full equal rights under the law but say they face constant discrimination, citing inferior services and unfair allocations for education, health and housing.