Two weeks of information-gathering for Operation Yewtree have resulted in the identification of over 200 potential victims and 400 lines of enquiry.
Commander Peter Spindler said: "The public's response to this issue has been astounding. We are dealing with alleged abuse on an unprecedented scale.
"The profile of this operation has empowered a staggering number of victims to come forward to report the sexual exploitation which occurred during their childhood."
He added: "I am pleased that victims feel confident enough to speak out about the abuse they suffered and would like to reassure the public that we take all these cases very seriously and they will be investigated with the utmost sensitivity.
"Anyone with information or concerns should call NSPCC on 0808 800 5000."
The Met acknowledged the appointment of Dame Janet Smith to lead the BBC-commissioned review into the matter and advised the broadcaster to run its review in parallel with the police investigation.
It added that protocol would be developed to make sure that any criminal action is not jeopardised by the BBC review.
Jimmy Savile - career in pictures:
Copyright: flickr/BBC Pictures