The corporation said it was made aware of a complaint in May but that new allegations of a "different nature" were brought to it on Thursday.
The BBC said it takes any allegations "seriously", confirming it has been in touch with external authorities alongside conducting its own inquiries.
The PA news agency understand the BBC are talking to the police.
BBC director-general Tim Davie said he is "wholly condemning the unsubstantiated rumours being made on the internet about some of our presenting talent."
In a note sent to staff and seen by PA, Mr Davie said the corporation takes "all such allegations incredibly seriously"!
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Denne historien er fra July 10, 2023-utgaven av The Herald.
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Law change plan for assisted dying
PROPOSALS to change the law to give terminally ill people \"choice at the end of life\" are to be introduced in Parliament this month.
Jenrick claim blasted
SAS: Who Dares Wins star Mark \"Billy\" Billingham has said Robert Jenrick's claim that the special forces are \"killing rather than capturing\" terrorists is \"absolutely ridiculous\".
Israeli order to evacuate
THE Israeli military yesterday ordered the evacuation of villages and towns in southern Lebanon that are north of a United Nationsdeclared buffer zone established after the 2006 war.
Prison sentence for sex offender
INDECENT IMAGES OF CHILDREN DISCOVERED
MP to join Warrior Women Walk
EVENT SUPPORTS DOMESTIC ABUSE VICTIMS
Bosses sound out plea to fund charity
EMOTIONAL PLEA TO SUPPORT MUSIC ZONE
Shovels in the ground for Armada Way work
'CITY CENTRE REGENERATION ON A MASSIVE SCALE'
Council blasted over three-year footpath closure
AUTHORITY SEEKING TO FIND SOLUTION
Calls to police force provoke fewer moans
COMPLAINTS about police call-handling in Devon and Cornwall have reduced from 60 a year to five, with people now waiting 30 minutes less on average to get an answer when they call 101.
Devoted couple vow to stay together in ill-health
AND LOCAL CARE SERVICES SUPPORT THEM TO DO SO