Under current rules in the UK, only the first £35,000 of an individual's money is fully protected should a bank collapse.
But Mr Brown told the BBC that the government had intervened where necessary and no depositors had yet lost money.
He said: "Wherever there has been a problem, Northern Rock guaranteed the deposits of those people who were saving with Northern Rock, Bradford and Bingley safeguarded the deposits by moving them to Abbey National, Halifax Bank of Scotland moved them to Lloyds TSB.
"Wherever there has been a problem we have intervened and dealt with it. Let's remember, the Irish are dealing with taxpayers' money here.
"We have got to get what's right and also what's reasonable and of course we look at every intervention that is necessary to take but I think people can see from our actions so far that depositors have been protected. No UK depositor has lost money."
BBC political editor Nick Robinson said ministers faced a dilemma over guaranteeing bank deposits, as they could either reassure the public or send the wrong signal.
I think people can see from our actions so far that depositors have been protected. No UK depositor has lost money
Raising the limit on guaranteed deposits to £50,000 would not require new legislation and could just be announced by the Treasury and the Financial Services Authority.
The FSA is still consulting on the increase to £50,000, although Mr Brown said it would be in the forthcoming Banking Bill.
Figures from the British Bankers Association from 2007 suggest only 2% of UK bank accounts hold more than £50,000 and only 4% have more than £35,000.
The Conservatives have said they will support the increase in deposit protection to £50,000 and would set aside political differences to back other government measures on the economy which were needed.
David Cameron told the Conservative party conference that political leaders must work together to tackle the current crisis and avoid the "political wrangling" seen in the US.
To that end, he has dropped his call for the Bank of England to be given enhanced powers to rescue banks to ensure a government bill to stabilise the banking system can be passed in the next few weeks.
After meeting his opposite number Alistair Darling on Tuesday, shadow chancellor George Osborne said the Tories would work in a "spirit of co-operation" with the government on the financial crisis.
But he stressed that did not mean giving Labour any "blank cheques".
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