Simpson was acquitted of killing Nicole Brown Simpson and Ronald Goldman in a criminal trial more than a decade ago.
However, he wrote about the slayings in a hypothetical memoir "If I Did It," which hit stores Thursday and included the subtitle "Confessions of the Killer."
The book's authorship has been changed and attributed to the Goldmans and the family will now receive the profits from its sale.
"This is evil. This is blood money," Denise Brown told The Independent. "It is written by a man who is evil. And now (Fred Goldman) is writing in the same book by the man who murdered his son? This is disgusting."
Fred Goldman has said his family sees the book as a confession and argued this is a way to collect the more than $30 million Simpson owes them from a wrongful death suit ruling.