The prime minister called for support for the LGBT population.
The administration said it was Netanyahu's choice to cancel a planned meeting with Obama.
Carter sought to reassure Israel and allies after an Iran nuclear deal was announced.
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"This must not be allowed to happen," Rep. Mac Thornberry said.
A Kuwaiti paper says the U.S. threatened to intervene in Israeli strikes against Iran.
Rep. Earl Blumenauer (Ore.) said the underlying motive for the speech was "outrageous."
His office said he will be traveling abroad on March 3.
Rep. John Lewis said the invitation to Netanyahu was "an affront to the president."
The potential 2016 contender will meet Prime Minister Netanyahu.
"This kind of offensive behavior is no way to treat a friend," GOP Rep. Pete Olson said.
The Speaker condemned an official for calling the Israeli prime minister "chickens---."
"People know it's more complicated than carpet bombing," said Rep. Tim Ryan.
The letter comes as Congress prepares to vote on the deal next month.
Rep. Robert Dold (R-Ill.) said he "can't think of a worse message."
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Almost a quarter of House Democrats will boycott Netanyahu's Tuesday address.
Funding for the Department of Homeland Security expires Friday at midnight.
Netanyahu struck a defiant tone on Monday.
Rep. Trent Franks says the administration has broken not only protocol but the law.
Obama administration warns move puts peace efforts at risk.
Rep. Kay Granger (R-Texas) said she'd fire a member of her own staff for such a statement.
“It is disgraceful, unacceptable, damaging," said Kerry about the insult.
The Israeli prime minister pledged to wage battle as long as necessary to stop Hamas.