Breaking his silence, Osborne who had campaigned strongly for Britain to Remain within the European Union and repeatedly warned against adverse financial consequences of Brexit, sought to reassure the country in the wake of the referendum which resulted in Britain's exit from the EU last week.
"As I said before the referendum, this will have an impact on the economy and the public finances - and there will need to be action to address that," he said.
On the process of the UK's departure from the EU, he said it was "perfectly sensible to wait for a new prime minister".
He said: "Only the UK can trigger Article 50 (of the Lisbon Treaty to exit the EU). And in my judgement, we should only do that when there is a clear view about what new arrangements we are seeking with our European neighbours.
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Prime Minister David Cameron has announced his decision to step down in the course of the next three months, for a new British Premier to take Brexit negotiations forward.
Osborne's statement came shortly before the UK stock market opened yesterday morning in an attempt to reassure investors, telling them that the Treasury and the Bank of England had "further well-thought-through contingency plans if they are needed".
British businesses have already warned that Brexit would trigger investment cuts and hiring freezes.
A survey by the Institute of Directors (IoD) today found that the majority of businesses believed Brexit was bad for them and a quarter of its members polled in the survey were putting hiring plans on hold, while 5 per cent said they were set to make workers redundant.
Nearly two-thirds of those polled said the outcome of the referendum was negative for their business.