The woman who recorded Shia LaBeouf asking her to leave him and his family alone — while he was in a grocery store parking lot — has been arrested for stalking … TMZ has learned.

Louisiana Police arrested 40-year-old Alyssa Couture on Monday and booked her on a stalking charge. The arrest came hours after Alyssa posted a video of a heated confrontation — as she sat in her car, Shia told her to buzz off because she was scaring his dad.

The New Orleans Police Department isn’t identifying Couture’s alleged victim — it’s policy — but the timing seems to point to the actor or someone connected to him calling the cops.