NFL's Brandon Browner Off Hook In Dom. Violence Case Despite Gun Allegations

Finally, some good news for ex-Seattle Seahawks star Brandon Browner -- officials decided not to move forward with charges in his domestic violence case ... despite allegations he threatened his ex with a gun.

TMZ Sports broke the story ... 33-year-old Browner was arrested back in Sept. after allegedly making criminal threats to a female.

Now, we've obtained official documents laying out the case against Browner -- which show Brandon's ex-GF told police things got scary during a FaceTime conversation.

"He showed her a gun and said he would kill her," the docs say.

But Browner told police she was lying and he never had a gun. Prosecutors couldn't prove the gun threat actually happened ... so they dropped the case.