The judge who presided over Governor Palin’s libel case against The New York Times denied her request Tuesday for a new trial, saying she failed to introduce “even a speck” of evidence necessary to prove actual malice by the newspaper.

A United States District Court judge, Jed Rakoff, made the assertion in a written decision as he rejected post-trial claims from Ms. Palin’s lawyers.

Her attorneys had asked the judge to grant a new trial or disqualify himself as biased against her, citing several evidentiary rulings by Judge Rakoff that they said were errors. Those ranged from how the questioning of jurors occurred during jury selection, to how jurors were instructed when they asked questions during deliberations.

“In actuality, none of these was erroneous, let alone a basis for granting Palin a new trial,” the judge said.

Judge Rakoff wrote that regardless of her post-trial motions, Ms. Palin was required at a trial earlier this year to show that an error in a published editorial was motivated by actual malice — a requirement in libel lawsuits involving public figures.

“And the striking thing about the trial here was that Palin, for all her earlier assertions, could not in the end introduce even a speck of such evidence,” he said.

Lawyers for Ms. Palin declined to comment on Judge Rakoff’s ruling.

A spokesman for the Times, Charlie Stadtlander, said in a statement, “We are pleased to see the court’s decision, and remain confident that the judge and jury decided the case fairly and correctly.”

The libel lawsuit by Ms. Palin, a one-time Republican vice-presidential candidate and former governor of Alaska, centered on the newspaper’s 2017 editorial falsely linking her campaign rhetoric to a mass shooting, which Ms. Palin asserted damaged her reputation and career.

The Times acknowledged their editorial was inaccurate, but said it quickly corrected the errors they called an “honest mistake” never meant to harm Palin.

Judge Rakoff announced in February even before a jury completed its deliberations that he intended to dismiss the lawsuit because Ms. Palin had failed to show that the Times acted out of malice. Jurors themselves rejected Ms. Palin’s lawsuit the next day.

Judge Rakoff said he thought it was fair to all parties not to wait for the jury’s verdict because he had already decided as a matter of law that Ms. Palin hadn’t proven her case.

Her attorneys cited the timing of Judge Rakoff’s announcement as one more reason a new trial should be ordered.