Police commissioner said it was time to "reformulate" the policy, so police showed empathy towards victims but kept an open mind as they tested claims.
The policy is expected to be considered in a review of the Met's procedures.
The NSPCC said it was "deeply disturbed" by the proposed change.
The review, which will be led by an ex-judge, follows criticism of the Met's handling of high-profile investigations into claims of historical sex abuse.
will scrutinise the force's handling of investigations including Operation Midland - which is looking at claims that boys were abused by powerful men from politics, the military and law enforcement agencies in the 1970s and 80s.
Anonymity for suspects
In 2014, Her Majesty's Inspector of Constabulary said "the presumption that a victim should always be believed should be institutionalised".
However, Sir Bernard told BBC Radio 4's Today programme police had become "hung up" on the word belief and it had "confused officers".
He said: "My point would be of course we've got to be empathetic. We want people to believe we're going to listen to them, we want to be open minded, what they tell us and then what the suspects tell us, and then we've got to test all that evidence.
"I think there is a grave danger at the moment with the advice that is around that perhaps there is a tendency to think that we will always believe any complaint that is made and that's not wise for any good investigator, nor as it would be for any journalist."
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