The new rules, stipulating that banks must hold minimum quantities of cash or sellable assets, have been set out by the Basel Committee on Banking Supervision in Switzerland.
The stress test rules will come in from 2015, although they will not be fully put in place until 2019.
James Dakin, a senior executive at Morgan Stanley in Australia, told The World Today the changes primarily target European banks and, to a lesser extent, banks based in the United States.
"The US banks really started the crisis. It was the US banks in trouble, courtesy of very poor mortgages," he said.
"So the US banks have already raised a lot of capital. They've already cleaned up their balance sheets substantially.
"You haven't seen that in Europe yet. Clearly European banks are at much greater risks of problems than the US banks."
Brian Johnson, a senior banking analyst with Asian investment firm CLSA, says Australian banks will easily meet the new requirements.
"In any case, to the extent that they're short, the Reserve Bank will actually supply what's called a committed liquidity facility, which would suggest that all of the Australian banks would comfortably meet both the capital and liquidity requirement," he said.
"I don't see today's news as really being all that significant for the Australian banks."
Mr Johnson agrees the regulations are primarily designed to whip European banks into shape.
"If I was the Australian banks, I would continue to moan and groan about how much tougher things are in Australia," he said.
"But the reality is that we've still got until January 2015 to get there, and when you have a look in terms of both capital and liquidity, it looks to me as though they will comfortably meet any target without adversely impacting their earnings to any great extent."