The shooting happened around 8:55 p.m. on the 200 block of North Madison Street in New Castle County.
Officers were called and arrived to find 31-year-old Anderson Brown suffering gunshots wounds.
Brown was pronounced dead at the scene.
Police are unsure what sparked the shooting and are still searching for the suspect.
Anyone who has any information can submit a tip anonymously through the Delaware Crime Stoppers at 1-800-TIP-3333 or online at www.tipsubmit.com.