Blake Lively & Ryan Reynolds Ask Court to Silence Justin Baldoni's Lawyer

Blake Lively and Ryan Reynolds want a judge to gag Justin Baldoni's lawyer ... claiming he's making false statements about the case.

The megastars filed a letter in court Tuesday ... and, in it, they ask the court to issue a protective order to stop Baldoni's lawyers from engaging in "improper conduct" including going on an alleged "harassing and retaliatory media campaign" against Blake and Ryan.

They say he's violating court rules that stop a lawyer from making statements to the press that are irrelevant to a case and might prejudice the jury.

Sources connected to JB tell TMZ ... they believe it's grossly unfair to impose s gag order after Justin has been defarmed by the New York Times in an article that they say has cost him three jobs and hundreds of millions of dollars. All Justin wants to do, the source says, "is release videos and text messages to prove the allegations are false."

The source adds, it is "unbelievable" that Blake Lively would go on a takedown campaign against Justin and then immediately turn around and say she wants a gag order so that Justin can't defend himself.