A gardaí spokesperson confirmed the discovery of a woman in her early 60s at St Margaret's Road, Malahide, Co Dublin at 10pm on Wednesday night.
They are not treating the death as suspicious at this stage.
A post mortem examination is due.
Price is the former wife of actor Stephen Rea, to whom she had two sons.
She was convicted, along with her sister Marian, for their part in the IRA car bomb attack on London's Old Bailey courts in 1973 in which one man died and more than 200 people were injured.
Former IRA volunteer-turned-writer Anthony McIntyre interviewed Dolours Price, and a number of other republican and loyalists paramilitaries, for a history project - along with co-author Ed Moloney - at Boston College in the United States which began in 2001.
The interviewees were promised that the confidential archived material would not be made public until after their deaths.
The interviews are the subject of a stay imposed by the Supreme Court of the United States and that stay remains in place until that court, the highest in the land, decides otherwise.
Ed Moloney and Anthony McIntyre
But Dolours Price has previously claimed to a Belfast newspaper that, during the recordings, she made allegations that Sinn Féin president Gerry Adams personally ordered the abduction of several people in the 1970s, including Belfast mother of 10 Jean McConville.
However, Mr Adams has always vehemently denied being a member of the IRA.
The Louth TD has expressed his "profound sadness" at Ms Price's death.
"I have known Dolours for a very long time. She endured great hardship during her time in prison in the 1970s enduring a hunger strike which included force feeding for over 200 days.
"In more recent years she has had many personal trials," he added.
"I am sure all of those who knew Dolours will be very sad at the news of her death."
Meanwhile, the PSNI has sought access to all Boston College recordings carried out with Price as part of their investigation into the murder of Jean McConville, one of the so-called Disappeared.
The Price sisters were both outspoken critics of the peace process.
Marian Price, also known by her married name Marian McGlinchey, is currently in custody.
She was granted bail in May 2011 after being charged with supporting an illegal organisation.
However, she was not released due to the then Secretary of State Owen Paterson's separate decision to revoke her early release licence.
She is accused of holding a speech for a masked man at a dissident rally on Easter Sunday 2011.
Price has been also been charged with providing property for the purposes of terrorism in relation to the murders of two soldiers at Massereene in 2009. She denies the charges.