SANTA MONICA, California (CNN) -- The families of Nicole Brown Simpson and Ronald Goldman have agreed to split the proceeds from an auction of O.J. Simpson's personal belongings, a lawyer said Monday.

Simpson

Simpson was found not guilty in 1995 in the killings of Nicole Brown Simpson and Goldman, who were found murdered outside of Nicole Brown Simpson's Brentwood condominium in June 1994.

But in 1997, a civil jury found the former football star responsible for the deaths, and ordered Simpson to pay the two families $33.5 million. So far, neither family has received any money.

Gary Caris, an attorney for Goldman's father, Fred Goldman, says both families have agreed to the split. He says the Goldman family will get 62.7 percent of the proceeds, while Nicole Brown Simpson's family will get 37.3 percent.

Lawyers for both families are due in a Santa Monica courtroom Tuesday, when a judge is expected to appoint a receiver to manage the auction. The items for sale include Simpson's Heisman trophy and sports memorabilia, as well as Tiffany lamps and other furniture from his Brentwood mansion. That house was sold last year and demolished by the new owner.

Reuters contributed to this report.