"Our ability to carry out that strategy is unchanged," Carter said today aboard his plane en route to Tel Aviv.
The Obama administration reserves the right to use military force against Iran if necessary, he added, although the nuclear deal is intended to preclude that by resolving the issue diplomatically.
Carter is scheduled to meet with Israeli Defense Minister Moshe Yaalon tomorrow and with Prime Minister Benjamin Netanyahu on Wednesday before traveling to Saudi Arabia and Jordan to consult on the implications of the Iran deal and to assess progress in the regional campaign against the Islamic State group. One of the bases used for US-led training and arming of moderate Syrian rebels is in Jordan, and the Jordanian air force has carried out strikes against Islamic State militants in Syria.
Netanyahu has been harshly critical of the Iran nuclear deal, asserting that it clears the way for Iran to build nuclear weapons that would threaten Israel's existence and ultimately diminish US and global security.
"I'm not going to change anybody's mind in Israel," Carter said. "We can agree to disagree."
In his remarks, Carter repeatedly mentioned that the Iran deal places no limitations on the US defence strategy or its military presence in the Middle East, which includes warplanes, an aircraft carrier and tens of thousands of troops. He gave no indication, however, that the Pentagon plans immediate moves to bolster that presence, which is anchored by the Navy's 5th fleet headquarters in Bahrain, an air operations center in Qatar and a military headquarters in Kuwait running the war against the Islamic State in Iraq and Syria.
"This is a good deal," Carter said. "It removes a critical element of danger, threat and uncertainty from the region," and does so in a way that can be verified not only by the US but by the international community.
Asked whether he thinks the Iran accord makes it more likely that Israel will launch a pre-emptive military strike on Iran, Carter noted that the US has discussed military options with Israel for a number of years.
"One of the reasons this deal is a good one is that it does nothing to prevent the military option - the U.S. military option, which I'm responsible for" and which will be improved and preserved, he said.
The US-Israel defence relationship has deepened in recent years, even as tensions between the two over how to contain Iran's nuclear programme has grown.
The US has invested hundreds of millions in an Israeli air defence system known as Iron Dome, designed to shoot down short-range rockets, mortars and artillery shells fired into northern Israel from southern Lebanon and into Israel's south from the Gaza Strip. The US has worked with Israel on anti-missile systems and a wide range of other defenses. Two years ago the Pentagon committed to providing advanced radars for Israel's fleet of fighter jets and KC-135 refueling aircraft, and making Israel the first country to buy the V-22 Osprey hybrid airplane-helicopter.
Just two months ago Washington announced a US$1.9 billion arms sale to Israel for a range of missiles and bombs, including bunker busters that can penetrate reinforced defenses to reach underground targets. Not included is the Pentagon's biggest bunker buster bomb.
Israeli officials insist they are not prepared to discuss American "compensation" for the Iran deal, saying that would imply acceptance of the accord. Israel believes there are loopholes in the deal that will allow Iran to emerge as a nuclear power eventually.
"Everybody talks about compensating Israel," Netanyahu said on ABC's This Week programme.
"I guess the question you have to ask yourself is, if this deal is supposed to make Israel and our Arab neighbours safer, why should we be compensated with anything?"
