Security video shows the victim and the driver, 21-year-old Itzel Ramirez, last week.
Investigators say the attack sparked from an argument over delivery times.
In the video, the woman and the driver can be seen having an argument. The victim then walks away and turns her back and the Amazon driver is seen attacking her from behind, punching her multiple times in the head.
Detectives say Ramirez admitted to assaulting the woman, but claims it was self-defense.
Amazon says this action does not reflect the high standards for its drivers and Ramirez no longer works for the company.