His comments came after Chancellor Alistair Darling had appeared to rule out the move.
US president Barack Obama is hitting US banks with a 0.15 per cent charge on liabilities in a bid to recoup at least $90bn (£55.3bn) of taxpayers' money spent on bailing out struggling lenders.
When asked if the UK had ruled out copying the US system Myners told BBC Radio 4 that ministers wanted to "promote a global debate about this."
"We are looking at a very broad range of principles because these are areas where we have to work as part of an international co-ordinated response," he said.
"Because we do not want to disadvantage the UK in an industry – banking and financial services – in which we have global leadership."
Darling indicated last week that the British Government would not be following the US example.
He said: "No, we are not. The Americans are doing something different."
The Conservatives have said they would only impose a levy if all other major economies followed suit.