Banks in Cyprus have reopened after a two-week closure amid EU-IMF bailout talks, with orderly queues for cash and strict limits on daily withdrawals.
Branches were replenished with cash overnight and police were deployed amid fears of a run on the banks.
Some queues did form but the mood was calm, and the country's president thanked Cypriots for their "maturity".
The restrictions on the free movement of capital represent a profound breach of an EU principle, correspondents say.
However, the European Commission on Thursday justified the move, saying the "stability of financial markets and the banking system in Cyprus constitutes a matter of overriding public interest".
Information from the Central Bank of Cyprus released on Thursday showed that foreign depositors had already withdrawn 18% of their cash from the nation's banks during February, before the current crisis hit home.
Cyprus is the first eurozone member country to bring in capital controls.
Cyprus needs to raise 5.8bn euros ($7.4bn; £4.9bn) to qualify for a 10bn-euro bailout from the European Commission, European Central Bank and the International Monetary Fund, the so-called troika.
As part of the bailout plan, depositors with more than 100,000 euros will see some of their savings exchanged for bank shares.
An earlier plan to tax small depositors was vetoed by the Cypriot parliament last week.
Loss of trust
Branches began to open at noon local time (10:00 GMT) and will close at 18:00 (16:00 GMT).
Some did not open on time, causing tension among customers. The longer queues formed outside branches of Laiki, which is being wound up.
One customer in a queue in Nicosia told the BBC's Tim Willcox he was withdrawing the allowed daily amount of 300 euros ($383; £253) but would take out all of his money if he could.
Our correspondent says the predictions of a stampede did not materialise and in some places there were more journalists than depositors.
Another customer, jewellery shop owner, Roula Spyrou, told AFP news agency: "There's going to be queues so I'm not going to spend so many hours there to get 300 euros."
As it became clear that calm was being maintained, President Nicos Anastasiades tweeted his gratitude.
"I would like to thank the Cypriot people for their maturity and collectedness shown in their interactions with the Cypriot Banks," he wrote.
Some armed police have been deployed in cities and hundreds of staff from the private security firm G4S are guarding bank branches and helping to transport money.
The stock exchange, shut since 16 March, remains closed on Thursday and will not reopen until after Easter.
In a statement issued on Wednesday, the ministry of finance insisted the capital control measures were temporary and were needed to "safeguard the stability of the system".
It read: "The Central Bank of Cyprus and the government of Cyprus will review them each day, with a view to progressive lifting of the measures as soon as circumstances allow. "
The severe new rules have been imposed to prevent a torrent of money leaving the island and credit institutions collapsing.
As well as the daily withdrawal limit, Cypriots may not cash cheques.
Payments and/or transfers outside Cyprus via debit and or credit cards are allowed up to 5,000 euros per person per month.
Transactions of 5,000-200,000 euros will be reviewed by a specially established committee, with applications for those over 200,000 euros needing individual approval.
Travellers leaving the country will only be allowed to take 1,000 euros with them.
Many economists predict the controls could be in place for months.
The unprecedented restrictions represent a profound breach of an important principle of the European Union, says the BBC's economics correspondent Andrew Walker.
That principle holds that capital, as well as people and trade, should able be to move freely across internal borders, he says.
However, the European Commission said member states could introduce capital controls "in certain circumstances and under strict conditions on grounds of public policy or public security".
But it added that "the free movement of capital should be reinstated as soon as possible".
The vice-president of the Cypriot Employers Federation, Demetria Karatoki, told the BBC he believed the country could pull through.
"Although there is going to be hardship, at the end of the day we can start rebuilding our economy on a sound basis," he said.
But British Cypriot businessman, Costa Thomas, said he had lost faith in the system.
"No-one really trusts politicians. So why should we believe them that these controls are going to last only a few weeks and we're going to get shares and get the money back?" he asked.
One employee of the Bank of Cyprus told the BBC that everybody's jobs were at risk.
"If the Bank of Cyprus collapses, all the small business, the large businesses, everything collapses. They cannot buy anything, import anything, export anything. There is nothing," she said.