The shooting was reported at the Sumner Houses around 8 p.m.
The 63-year-old victim was discovered unconscious and taken to the hospital where she was pronounced dead.
The 43-year-old suspect was taken into custody and charges against him are pending.
Police say a weapon was recovered at the scene.
The victim's identity has not yet been released.
Few other details were released, but the investigation is ongoing.
----------
* More Brooklyn news
* Send us a news tip
* Download the abc7NY app for breaking news alerts
*Follow us on YouTube
*