The Conservative government, whose Prime Minister David Cameron resigned last week after losing a referendum on Britain's EU membership, had previously pledged to eliminate the budget deficit by the 2019/2020 financial year in a key austerity pledge.
"We will continue to be tough on the deficit, but we must be realistic about achieving a surplus by the end of this decade," Osborne told business leaders in Manchester, northern England.
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Echoing the Bank of England's gloomy forecasts from the previous day, Osborne added that Britain's EU exit would exert a major "negative" impact on the economy.
"The referendum result is as expected likely to lead to a significant negative shock for the British economy," Osborne said on Friday.
"How we respond will determine the impact on people's jobs and on economic growth. The Bank of England can support demand (and) the government must provide fiscal credibility," he added.
The BoE had also revealed on Thursday that it could slash interest rates soon to counter the downbeat economic outlook, which it said had "deteriorated" because of Brexit.
Governor Mark Carney also hinted that the central bank could reactivate its so-called quantitative easing scheme to pump more cash into the economy and boost lending.
Osborne stressed today that the government's contingency plans had dealt with chaotic financial markets following the Brexit vote.
"We have very extensive contingency plans in place to deal with disorder in the market," he added.
"We stand ready to react to whatever developments there are in the market and we do this from a position of strength."
Britain's banks are in better shape and have ten times more capital than they did during the notorious 2008/2009 global financial crisis, he added.
Prime Minister Cameron will meanwhile step down in the autumn, leaving his successor to deal with EU exit negotiations and trigger the so-called Article 50 that will eventually prompt Britain's departure from the bloc.
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