Three of Greece's top four banks failed the European Central Bank's health check but the country's central bank said only one bank had to raise any money, in a major respite for the country where the euro zone crisis began.
The results of the ECB's comprehensive assessment showed that National Bank and Eurobank had too little capital at the end of last year.
They showed shortfalls of €3.43 billion and €4.63 billion respectively.
But Greece's central bank governor Yannis Stournaras said that only Eurobank had a shortfall under the ECB's adverse scenario after taking into account restructuring plans, of just €17.5m.
Greece's battered banking system had been closely watched as part of the ECB's extensive review of banks, with analysts estimating a shortfall of as much as €1.5 billion before the ECB published its verdict today.
The results are a boost for Greece's government, which is hoping to use most of the €11 billion left over from a state bank rescue fund to help finance itself after it exits its EU/IMF bailout.
Officials have suggested the funds could be used for a potential credit line if Athens quits its bailout early, at the end of the year.
According to the ECB, after taking into account restructuring plans, National Bank's shortfall stood at €273.28m and Eurobank's shortfall stood at €70.66m - both falling short on the asset quality review threshold.
However, the ECB noted that the AQR result did not include capital raising or restructuring efforts this year.
National Bank said the tests showed it has no need to raise capital, noting that it had surplus of €2 billion under the "dynamic" scenario of the health check.
The restructuring plans have been approved by the European Union but have yet to be approved by the ECB.
The ECB noted that National Bank had already raised €2.5 billion since the start of the year, while Eurobank has already raised €2.86 billion in the same period.
A third Greek bank, Piraeus had a capital shortfall of €659.9m at the end of 2013 but has already raised enough since then to cover that gap. A fourth bank, Alpha Bank, was given a clean bill of health.
Greece's four biggest lenders, which control about 90% of the industry, suffered heavy losses as the nation slumped into its worst economic crisis since World War II.
They have struggled with rising bad loans and a sovereign debt restructuring in 2012 which wiped out their equity.
The four banks were rescued by the EU and IMF, which pumped €25 billion into them.
All have since tapped international capital markets and raised €8.3 billion between them in their second recapitalisation round earlier this year, more than filling a €6.4 billion capital shortfall revealed in the second Bank of Greece stress test.
