His 25-year-old cousin, Alejandro Morales, is charged with murder and is being held without bail.
His lawyer says the ex-con has a history of mental illness. Anthony's funeral will be held Wednesday at Holy Trinity Church in Hackensack.
Prosecutors say Alejandro stabbed Anthony, then slipped out of the apartment and tossed the knife into the building's incinerator.
Morales was released from prison in May after serving five years for assault.