Officers responded to a 911 call on Saturday morning about an unresponsive infant at the West Brighton Houses.
Later Saturday, Leonard Thompson, 38, and Jenice Lightfoot, 36, were both arrested.
It is not clear how the baby died. The Medical Examiner will perform an autopsy.
Police say investigators saw signs of trauma to the baby's left arm.
ALSO READ | Accused squatter rented out rooms in owner's house | 7 On Your Side Investigates
Accused squatter rented out rooms in owner's house
----------
* More Staten Island news
* Send us a news tip
* Download the abc7NY app for breaking news alerts
* Follow us on YouTube
Submit a tip or story idea to Eyewitness News
Have a breaking news tip or an idea for a story we should cover? Send it to Eyewitness News using the form below. If attaching a video or photo, terms of use apply.
POLICE ARRESTED AND CHARGED TWO PEOPLE WITH RECKLESS ENDANGERMENT IN CONNECTION TO THE 1-MONTH OLD'S DEATH.