In a separate filing, a lawyer for co-defendant Clarence "C.J." Stewart said Stewart suffered from being tried with Simpson, who was acquitted more than a decade ago of killing his ex-wife and her friend. Attorney Brent Bryson also alleged misconduct by the jury foreman, whom he quoted as saying he thought Simpson should have been given a life sentence for murder.
If the foreman "believes that Mr. Simpson is a murderer, and that Mr. Stewart is associated with Mr. Simpson, that bias would spill over" and affect the juror's ability to be impartial, Bryson wrote.
Jury foreman Paul Connelly has made remarks disputing such an interpretation of his post-verdict comments.
In documents filed with Glass, Grasso and Simpson lawyer Yale Galanter also protested that the judge refused to grant enough time to fully review transcripts and videotapes of the trial, which led to guilty verdicts against Simpson and Stewart on Oct. 3.
"She didn't give us the time we need to do a full-fledged motion," said Galanter, who lost a bid to extend the seven-day deadline.
Galanter said he would file a more detailed appeal to the Nevada Supreme Court, the state's only appellate court, if Glass denies a new trial.
Prosecutors were expected to submit written opposition this month, according to court documents.
Simpson, 61, and Stewart, 54, are due for sentencing Dec. 5. The jury convicted them of all 12 charges, including kidnapping, armed robbery and assault with a deadly weapon, in the hotel room confrontation more than a year ago.
Both men are jailed in Las Vegas. They face five years to life in prison on each of their two kidnapping convictions, and a mandatory sentence of at least two years or up to 30 years on each of the two armed robbery convictions.
Simpson's motion for a new trial alleges Glass improperly allowed prosecutors to use pre-emptory challenges to remove two prospective black jurors before the final jury was seated.
Both Simpson and Stewart are black. The final jury of nine women and three men included one woman who identified herself as Hispanic, but no blacks.
Simpson's lawyers asserted there was not enough evidence to support first-degree kidnapping convictions and faulted questions used to cull the jury from a pool of 500 prospects.
Grasso alleged that Glass blocked them from telling jurors that they could consider lesser charges of larceny or second-degree kidnapping against Simpson, or that the former NFL star believed when he confronted memorabilia dealers Bruce Fromong and Alfred Beardsley that he was retrieving items that belonged to him.