Kirchner has been indicted over accusations that she covered up the alleged involvement of senior Iranian officials in the 1994 bombing of a Buenos Aires Jewish center.
The attack on the AMIA center killed 85 and left hundreds wounded. Iran has denied any involvement.
The miniseries will consist of four to six episodes about the life and shooting death of Nisman, who investigated the 1994 attack on the Buenos Aires center that killed 85 and wounded 300.
Nisman was found dead days after accusing former President Cristina Fernandez of covering up Iran's role in the 1994 bombing of a Jewish community center.