Suspect 22-year-old Joshua Taylor, barricaded himself in a nearby residence, where officers subsequently arrested him.
The coroner has been summoned to the scene, indicating that at least one individual has been killed.
At the scene, Channel3 NOW crews observed authorities surrounding a vehicle lying in a ditch.
Jackson police have apprehended three suspects.
The man is armed and dangerous and assaulted an officer of the law.
Both individuals were subsequently transported to Baptist Anderson Medical Center and are now in stable condition.
A juvenile suspect has been apprehended in connection with the deaths.
A 25-year-old man was apprehended by officers, who claimed the shooting was accidental
Anyone with information about this incident is encouraged to contact Jackson Police at (601) 960-1234 or CrimeStoppers at 601-355-TIPS (8477).
Law enforcement has categorized the deaths as a murder-suicide resulting from domestic violence.