Obama's secretary of defense nominee has been depicted by the media as the un-Chuck Hagel; but on Israel, Carter would represent continuity.
According to Hagel, the U.S. wants to help Iraq regain the territory it lost to Islamic State militants earlier this year.
Says decision to step down was mutual.
Carter, a former deputy secretary at the Department of Defense, would replace Chuck Hagel, sources say.
Hagel has served as Secretary of Defense since February 2013; resignation comes as President Obama's national security team has been battered by multiple foreign policy crises.
President Rivlin just called Israel a 'sick society.' If he was an American politician, he'd be probably forced out of his job.
Turkey FM: Kobani corridor for arms, fighters is 'unrealistic'; Iran warns U.S.: Toppling Assad would put Israel at risk; Triple suicide attack kills 26 Kurdish officers;
U.S. defense secretary says the coalition is doing what it can from the air, but that Islamist militants still threatening Kobani.
Direct aid underscores level of U.S. concern about Islamist militants' gains in north; U.S. had previously insisted on only selling arms to Iraqi government.
Akram Abusharar, a lawyer from Michigan, claims his family's home was bombed during Operation Protective Edge in Gaza.
In a phone conversation, U.S. secretary of defense pledges continued support to his Israeli counterpart.
Agreement will increase U.S. production of the air defense system's components from 30 percent to 55 percent as of 2015.
Defense official says, however, that thousands of Russian soldiers still remain; Russia's Lavrov tells Kerry Washington must urge Kiev to halt military operation in east Ukraine.
Visiting Defense Secretary Chuck Hagel says at press conference with PM that the U.S. 'will do what we must' to prevent a nuclear-armed Iran.
On visit to Israel, U.S. defense secretary responds to Newsweek report quoting unnamed U.S. officials accusing Israel of espionage.
U.S. Secretary of Defense Chuck Hagel arrives in Israel to meet his Israeli counterpart, Moshe Ya’alon and address U.S., Israeli troops.
Washington hopeful of progress this week in Iran deal-drafting talks, Hagel tells Gulf counterparts.
Chuck Hagel to meet with Ya'alon to discuss Iran, Syria; Rice concludes visit in Israel.
U.S., Germany present unified front in their desire to impose costs on Russia for its actions in Ukraine and for backing Ukraine, including financially.
Moshe Ya'alon tells American counterpart he never meant to show defiance, criticize or hurt the U.S. with his words.
In its fifth year, the forum attracts defense and security officials from Western democracies.
Israeli officials say Jerusalem would tacitly accept American concessions to Iran if those did not include significant changes to sanctions and ensured a halt to uranium enrichment.
U.S. Secretary of Defense tells Bloomberg website he does not believe Netanyahu is trying to derail talks. President Rohani says Islamic Republic 'not optimistic' about negotiations.
New radar-evading aircraft will enable Israel Air Force to carry out long-range special ops, including in Iran.
U.S. officials acknowledge that South Korea has informally expressed interest in delaying deadline when Seoul is supposed to assume wartime control of defensive forces in the event of attack by North Korea.
Congress Debates Syria Strike Hagel: Refusal to Act on Syria Would Undermine U.S. Credibility on Iran
In testimony to Congress, Secretary of Defense says U.S. cannot allow Hezbollah to acquire chemical weapons; Kerry says U.S. silence would be an invitation to Assad to use chemical weapons again.
International Pressure Heats Up Hagel: U.S. Ready to Strike Syria Immediately if Obama Orders Action
Defense Secretary says U.S. has moved assets in place to be able to comply with whatever option Obama wishes to take; top generals from U.S., and European and Middle Eastern allies meet in Jordan.
'Defense Department has responsibility to provide president with options for all contingencies,' Hagel says; Obama to meet with military chiefs to meet over the weekend.
With civil war in Syria persisting, U.S. President Obama says soldiers will remain in Jordan until security situation allows for their departure.
Defense Secretary Chuck Hagel approves Jordan's request to keep the weapons there, once the joint Eager Lion Exercises are completed this month.