A deputy to Clark County District Attorney Steve Wolfson told the Nevada Supreme Court in a filing that Simpson isn't entitled to a new trial in the 2007 hotel room confrontation over sports memorabilia.
Wolfson and Lawyers for Simpson didn't immediately respond Tuesday to messages.
The 67-year-old Simpson has served more than six years of a nine-to-33-year Nevada prison sentence and isn't eligible for parole until 2017.
A Clark County District Court judge rejected arguments last year that Simpson's trial lawyer botched his case.
The high court in September 2010 rejected a previous appeal by the former football player.