Simpson has continued to declare his innocence in the two slayings.
Simpson lawyer Malcolm LaVergne confirmed to CNN that the account was authentic, as was the video, apparently filmed by Simpson on a smartphone in the yard of a Las Vegas residence. OJ became the prime suspect in the murders and his trial gained global attention.
In a subsequent lawsuit in 1997, he was found liable for their "wrongful deaths" and ordered to pay the families $33.5 million in damages.
Simpson told the AP that "life is fine" and added that he is now in a place where he doesn't focus on negatives.
After nine months of proceedings, Simpson was found not guilty of the double murders of his former wife, Nicole Brown Simpson, or her friend Ron Goldman, who were both found stabbed outside her California house in 1994.
He is often seen in Las Vegas, playing golf.
Former NFL star OJ Simpson in court during his sentencing hearing at the Clark County Regional Justice Centre in Las Vegas, Nevada before his parole in 2017.
Edesur: Power restored to 1.5 million Argentines
A vendor waits for customers during a nationwide blackout, in Buenos Aires, Argentina , on Sunday, June 16, 2019. The Argentinian company later said it had started the "normalization process, which will require several hours".
Race for UK's PM heats up
Johnson received 114 votes, Jeremy Hunt was second with 43, and Michael Gove third with 37 votes. A person dressed as a chicken stands outside as Boris Johnson leaves his home on Thursday.