But in a narrow ray of hope, creditors left the door open for a last-ditch debt deal to try and avert a Greek eurozone exit which would raise serious questions about the future of the EU.
Calling for a compromise, German Chancellor Angela Merkel warned that "if euro fails, Europe fails".
Global stocks fell, with Frankfurt and Paris losing more than three per cent after a slump in Asia, as investors feared a 'Grexit'. The euro steadied after hitting a one-month low under USD 1.10 yesterday.
However, the drastic measures -- designed to protect the banking system against the threat of mass panic - sent Greeks rushing to withdraw their daily allowance.
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Jittery housewives, shoppers and business owners formed long lines at cash machines across Greece on a day dubbed "Black Monday".
"No money, no hope, how did we get in this situation? This is Black Monday," unemployed Chris Bakas, 28, told AFP as he stood sweating in the Athens sun, staring at an ATM screen.
Prime Minister Alexis Tsipras had urged restraint yesterday after announcing the restrictions.
"Any difficulties that may arise must be dealt with calmness. The more calm we are, the sooner we will get over this situation," Tsipras said, adding Athens had again requested a "prolongation of the (bailout) programme".
The Athens stock market has meanwhile been shut until July 7.
The rapid escalation of the Greek debt crisis came after the European Central Bank froze the level of its emergency lifeline for Athens yesterday, despite a growing bank run.