Los Angeles prosecutors declined the case because of "insufficient evidence," district attorney's office spokesman Paul Eakins told The Associated Press on Thursday.
The 22-year-old Jones was arrested after officers were called to a disturbance in downtown Los Angeles, said police spokesman Luis Garcia. Jones was found "breaking glass doors and windows" and arrested on suspicion of felony vandalism, Garcia said.
The arrest was first reported by TMZ, which posted a video showing a nude Zay Jones pushing his brother, Cayleb, in what appeared to be the hallway of an apartment building.
His agent, Zeke Sandhu, did not reply to text and voicemail messages. Sandhu also represents Cayleb Jones.
His father, Robert Jones, posted a note on his Twitter account on Wednesday saying his son "is with me and his mom," while adding "he's going to be fine!"
Copyright 2018 by The Associated Press.