Two former BBC employees have made allegations Radio 1 DJ Dave Lee Travis groped them at the corporation's studios.
The unnamed woman has given a statement to police, while a second accuser, who later became a presenter on Sky News, says she intends to make a complaint to BBC director general George Entwistle.
Dave Lee Travis has denied the allegations
The second woman, Vivien Creegor, claims Travis “jiggled her breasts” during a show in the 1980s.
Travis, who earned the nicknamed 'The Hairy Cornflake' during his breakfast show tenure from 1978 to 1980, told the newspaper: “I categorically deny that there is any substance in either allegation and I’m genuinely surprised that allegations of this nature have been made. I totally refute any impropriety.”
Questions have been raised about the culture of the corporation after allegations emerged about the late Jimmy Savile’s conduct.
On Friday, Entwistle offered a “profound and heartfelt apology” to the alleged victims of Savile’s sexual abuse as he announced two inquires would be launched.
One will look into the “culture and practices of the BBC during the years Savile worked here,” Entwistle said.
The second will look into whether there were failings after Newsnight abandoned an investigation into the alleged abuse.
George Entwistle has asked a senior colleague to answer journalists' questions on the dropping of a documentary about Jimmy Savile
TV and radio presenter Sandi Toksvig last week told how she was groped on air by a “famous individual” 30 years ago.
Toksvig, who declined to name the celebrity, said when she informed other staff what had happened they thought it was funny.
The disclosure came as she reviewed the newspapers for the BBC's Andrew Marr show.
Toksvig, who starred in children's shows such as ITV's Number 73 during the 1980s and is now a regular on Radio 4, said the claims about abusive behaviour came as no surprise.
"In the Eighties, which is when I started in radio and television, things were very different. Not to name any names, but I was once very unpleasantly groped while I was broadcasting by a famous individual who shall remain nameless.
"When I told the staff afterwards what had happened everybody thought it was amusing. There was a sort of 'shrugged shoulder' approach to the whole thing."
She added that allegations of inappropriate behaviour "did not surprise me at all and I had heard those stories when I was working at the BBC".
Former Radio 1 DJ Liz Kershaw has also described she was routinely groped by a colleague.
As well as Savile, singer Gary Glitter, 68, and comic Freddie Starr, 69, have been caught up in the scandal.
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Starr has denied accusations he molested a girl in Savile's BBC dressing room when she was 14.
Nurses at the hospital are understood to have dreaded his visits. They would tell children to stay in bed and pretend to be asleep when he came round, it has been claimed.
A number of memorials to Savile have already been removed, including an inscription on the wall at Leeds Civic Hall in recognition of his charity work, and a street sign in Scarborough, North Yorkshire. His headstone has also been removed.
Scotland Yard has been in contact with ITV and the BBC to gather information and they are contacting alleged victims they have been talking to to see if they will co-operate.
