Two surveys, conducted a day after US forces tracked down and killed the al-Qaeda chief in a hideout in Pakistan, found Barack Obama's approval ratings at 56 per cent - a 9-point improvement over last month.
The results released on Tuesday were reported by The Washington Post/Pew Research Center and USA Today/Gallup Poll.
While the killing of bin Laden seized world attention, such events can prove short-lived, particularly after a brutal presidential campaign.
But Republicans lining up to challenge Obama in next year's election will be banking on pressing domestic issues to turn the tables on him.
The Washington Post/Pew Research Center poll showed that only 40 per cent of those surveyed approved of the president's handling of the economy.
Other polls last week found that about 70 per cent of Americans felt the country was on the wrong track.
Even though the economy is slowly recovering from the Great Recession, unemployment remains near 9 per cent and gasoline prices have shot up.
While Obama has received generally broad bipartisan and international backing for the killing of bin Laden, Americans at the same time report increased fears about retaliatory al-Qaeda attacks.
The USA Today/Gallup Poll survey found that more than six in 10 of those contacted said a reprisal attack was likely in the coming weeks. That, the pollsters said, was "the highest rate of public nervousness in eight years".
The polls surveyed randomly selected adults by telephone on May 2 and have a margin of sampling error of plus or minus five percentage points.
The men assigned to capture or kill Osama Bin Laden were part of the US Navy's legendary special forces unit, the Seals. Who are they?
It was years in the planning but took just 40 minutes to execute.
More than a dozen members of the US military were dropped near the high-walled, three-storey compound on the outskirts of Abbottabad in north-west Pakistan.
After a brief firefight, five people were killed, including Osama Bin Laden, who reportedly received a shot above his left eye.
All the US forces escaped unharmed, despite technical problems with one helicopter that they had to leave behind.
It says everything about their presence of mind that despite the dangers, they collected hard drives, DVDs and documents from the building before they left.
From the US point of view, the mission, codenamed Geronimo, could hardly have gone any better, a reflection on the preparation and skills of the men who carried it out.
"Discreet pride" is the best way to sum up the mood. Local people are delighted that the men who faced down Bin Laden were from the Seal base at Virginia Beach, but they also understand that absolute secrecy is the foundation of Seal achievements.
The town's mayor is politely declining interviews - having earlier floated the idea of a public tribute to the special forces. And at the base which is understood to house Team Six, the Military Police were courteous but tight-lipped.
At CP Shuckers, a bustling late-night bar, I heard a surprisingly nuanced range of views on Bin Laden's death. Everyone welcomed the killing, and many were proud of the local connection. But there was no consensus as to whether the terror threat to America would now ease.
Separately, I spoke to a serving Seal, who did not want to be identified. He was mildly sceptical about the US government's account of the raid. "I'll only form a true view on this," he said, "when I hear about it directly - from the guys who were there."
Although there has been no official confirmation which team was involved, it is widely thought that it was the Seal Team Six (ST6), officially known as the Naval Special Warfare Development Group, but more commonly known as DevGru.
They are the all-star, elite group of Seals, a team of military personnel trained to carry out top secret operations.
The Seals are part of the Navy Special Warfare Command, and are also the maritime component of the US Special Operations Command, continually deployed throughout the world in operations to protect US interests.
There are 2,500 Seals in total, and they take their name from the environments in which they are trained to work - sea, air and land. But it is their highly specialised training to operate in water that they are best known for.
Their missions can be enormously varied in nature, involving combat, anti-terrorism and hostage rescues.
These guys are America's thoroughbreds, says Don Shipley, from Virginia, who spent two decades in the Navy as a Seal.
"They're the finest guys America has. Your average guy walking down the street just doesn't have it.
"The guys that become Seals have gifted eyesight, above average intelligence, and are genetically built to withstand a lot of punishment, being pounded a lot. Those are the guys that are qualified to get in but the guys that ultimately come out are thoroughbreds, they're racehorses."
Stew Smith, former Seal on the gruelling training
I never thought about dropping out”
It is often described as the toughest training available to any special forces anywhere in the world. The drop-out rate is 80-85%.
Stew Smith, a Seal for eight years, now runs fitness training courses in Maryland for people who are thinking of joining up.
He says the first six months of Seal training, known as Basic Underwater Demolition (Buds) is the toughest. It includes one period which lasts a continuous 120 hours, and involves swimming, running, obstacle courses, scuba diving and navigation.
The current Buds training course has already lost 190 recruits out of 245, and is only three weeks in, he says.
"I never thought about dropping out. People ask me why not, and I say that you have to go there in a mindset of competing, not just surviving.
Seal Team Six (ST6)
- Elite force of Seals, based near Virginia Beach
- Selected from all the units, to carry out the most demanding missions
- Usually have five years of experience already
- The unit belongs to the Joint Special Operations Command (JSOC) which is run at a cost of more than $1bn a year
- Involved in Yemen, Somalia and Afghanistan in recent years
- Existence shrouded in mystery
- They reportedly train around the clock and can spend 300 days a year away from home
"If you're running your first marathon, your goal is just to finish the thing, you're in a survival mode. But when you're stretching out before, you look across and see a Kenyan who is trying to drop a minute off his best time.
"There is a different mindset. For me, every day in training was a competition."
After Buds, you are officially a Seal and assigned to a team but you need to have another 12 months of training with your new colleagues before you are deployed, says Mr Smith.
He believes what makes Seals special is their versatility.
"Also, having a strong confidence with the boat, and a relationship with the Navy, we have a way of respecting Mother Nature because we realise that when you're out there in the middle of the ocean, you're just a speck."
This familiarity with the vagaries of the weather teaches Seals to always have a Plan B, he says. "There's a saying in the Seals that two is one and one is nothing."
The origins of the Seals can be traced to World War II, and its predecessors like the Naval Combat Demolition Unit, which was involved in the invasion of North Africa in 1942.
Their formation came out of a $100m (£61m) package by President John F Kennedy to strengthen the US special forces capability.
They were later involved in Vietnam, Grenada and in Panama, where four Seals were killed as they tried to prevent leader Manuel Noriega escaping by destroying his jet and boat.
The episode was also renowned for an incident a few days later, in which loud rock music was played all day and night to force him out of his refuge in Panama City.
In more recent years, the Seals have been heavily involved in missions in Afghanistan and Iraq.
But their role in the death of Osama Bin Laden writes another chapter in their history.
CIA chief says a photo showing bin Laden dead will ultimately be released.
Last Modified: 04 May 2011 02:53
Osama bin Laden was unarmed when he was confronted and shot dead by US forces at his Pakistani hideout, a White House spokesman has said.
Jay Carney said that the US was considering whether to release photos of bin Laden after he was killed on Sunday but that the photos were "gruesome" and could be inflammatory.
The director of the CIA told NBC News on Tuesday that the a photo showing bin Laden dead will ultimately be released.
"The government obviously has been talking about how best to do this, but I don't think there was any question that ultimately a photograph would be presented to the public," Leon Panetta, the head of the US spy agency, said according to a transcript of the television interview.
Carney said one of bin Laden's wives had tried to rush the US forces and was shot in the leg.
He said Bin Laden had resisted capture and was shot and killed. He did not explain how bin Laden had resisted.
The White House spokesman said high temperatures had caused one of the helicopters carrying the US forces to make a hard landing at the compound in Abbottabad, a town about two hours north of Islamabad, the capital.
The US commandos swept through the massive compound, handcuffing those they encountered with plastic zip ties and pressed on in pursuit of their target, code-named 'Geronimo'.
Barack Obama, the US president, and a small team of his officials watched the operation in real time from the White House, but the mission was not run from there, Carney said.
After killing bin Laden, the US team quickly swept the compound for useful intelligence, making off with a cache of computer equipment and documents.
All of that is now in Washington and the analysis has begun.
The US commandos also confiscated phone numbers from bin Laden's body, and those might provide new leads for investigators.
Taliban demand proof
The Taliban in Afghanistan said on Tuesday that they questioned whether bin Laden was actually dead.
"As the Americans did not provide any acceptable evidence to back up their claim, and as the other aides close to Osama bin Laden have not confirmed or denied the death ... the Islamic Emirate considers any assertion premature," Zabihullah Mujahid, a Taliban spokesman, said.
The United Nations' top human rights official called on the US on Tuesday to give the UN details about bin Laden's killing and said that all counter-terrorism operations must respect international law.
"This was a complex operation and it would be helpful if we knew the precise facts surrounding his killing," Navi Pillay, the UN High Commissioner for Human Rights, said in a statement to the Reuters news agency.
It was always clear that taking bin Laden alive was likely to be difficult, Pillay said, noting that US authorities had stated that they intended to arrest him if possible.
"If he was captured and brought before a court, I have no doubt he would have been charged with the most serious crimes, including the mass murder of civilians that took place on 9/11, which were planned and systematic and in my view amounted to crime against humanity," she said.
Eric Holder, the US attorney general, defended the US operation against bin Laden as lawful.
But some in Europe said bin Laden should have been captured and put on trial.
"It was quite clearly a violation of international law," former West German Chancellor Helmut Schmidt told German TV. "The operation could also have incalculable consequences in the Arab world in light of all the unrest."
Pakistan's foreign ministry also expressed "deep concerns" about what it called an "unauthorised unilateral action".
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