Telemaque died of multiple gunshot wounds to the upper torso in Brooklyn early Monday, the celebrity news Web site reported.
Minaj posted photos of Telemaque on Twitter Monday, along with the message: "Lived in Brooklyn his whole life. My precious cousin. My baby. Killed last nite."
Minaj, 26, became famous for her 2010 debut studio album "Pink Friday," which included the hits "Your Love," "Right thru Me," "Check It Out" and "Moment 4 Life."