"The Bank of England is monitoring developments closely," it said in a brief statement following Thursday's referendum vote.
"The BoE will take all necessary steps to meet its responsibilities for monetary and financial stability."
It added that it had already "undertaken extensive contingency planning" and was working closely with Britain's Treasury as well as with other domestic authorities and central banks.
The announcement came after the Bank of Japan said it stood ready to work with other major central banks to inject ample liquidity to counter wild volatility in markets.
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Britain has voted to leave the European Union by 52 per cent to 48 per cent, results from all 382 of the country's local counting centres showed.
"The last time I remember central banks acting in a coordinated way to support the economy and markets was in 2008 when the Federal Reserve, BoE and European Central Bank all cut interest rates," said analyst Craig Erlam at trading firm Oanda.