A Chorley woman is among those alleged to have been abused by TV star Jimmy Savile.
The woman, who has not been identified, made the allegations to Lancashire Police regarding an incident in West Yorkshire in the 1960s.
She was under the age of 16 at the time.
The details have now been passed to Metropolitan Police who are investigating.
Lancashire Police were also contacted by a woman now living in Rossendale, east Lancashire, who says she was abused by the late TV personality in Bedfordshire in the 1980s.
She was also under the age of 16 at the time.
A spokesman for Lancashire Police said: “We have received two allegations.
“A woman from Chorley has reported an incident in West Yorkshire in the 1960s and a woman from Rossendale has reported an incident in Bedfordshire in the 1980s.
“Both incidents were outside Lancashire so details have been passed to the Metropolitan Police who are investigating.
“The allegations were received very recently, in the last week.
“Both of the women were teenagers when they are alleging the incidents have taken place.”
Lancashire Police has forwarded the two complaints to Scotland Yard, which is looking into 120 lines of inquiry and believe Savile could have abused up to 25 victims over a period of a period of four decades.
Scotland Yard has formally recorded eight criminal allegations against Savile – two of rape and six of indecent assault.
It comes as new allegations emerged claiming the presenter abused sick children in Yorkshire and Buckinghamshire.
Savile is alleged to have groped young patients at Stoke Mandeville Hospital in Buckinghamshire, where he worked as a volunteer fundraiser and porter, as well as carrying out abuse at Leeds General Infirmary.
Nine police forces across the country have now received reports of sex abuse involving Savile.
Sir Jimmy rose to fame after being spotted DJing at the Plaza dance hall in Manchester.
He then moved to radio, becoming a broadcaster on Radio One before being chosen to front the first Top of the Pops show in 1964.
He appeared on various BBC shows for nearly 20 years, with his most famous role seeing him grant wishes to young viewers on Jim’ll Fix it.
Sir Jimmy was awarded an OBE in 1971 and given a Knighthood by the Queen in 1996.
He died in October last year, aged 84.
Since publicity surrounding allegations began to grow, Savile’s headstone has been removed from his grave in Scarborough at the request of his family.