The shooting was reported shortly after noon at North Arkansas and Arctic avenues.
The Atlantic County Prosecutor's office said one man fired a weapon and shot another man.
The victim was taken to Atlantic City Medical Center, but has since been pronounced dead.
Atlantic City Police investigating shooting at Tanger Outlets. @6abc pic.twitter.com/df9YboOj0t
— Gray Hall (@GrayHall6abc) September 1, 2016
The suspect initially fled the area, but the prosecutor's office said the suspect is now in custody.
That man appears to have a self-inflicted gunshot wound, investigators say.
Officials emphasized that there is no danger to the public.
We currently have one person detained in reference to this incident.
— Atlantic City Police (@AtlanticCityPD) September 1, 2016