Authorities have accused Nash, 25, of following Lee into her building on Chrystie Street and then up to her sixth-floor apartment early on Sunday morning. Police said that when Lee opened her door, Nash forced his way inside and attacked her.
Earlier this week, an assistant district attorney said in court that Nash stabbed Lee more than 40 times and left her body naked from the waist up inside the bathroom.
The NYPD found Assamad Nash under a bed in the apartment. He had a stab wound to his torso and cuts on his hands and shoulders, according to prosecutors.
A judge ordered him held without bail.
Nash was not in court on Friday for what was an administrative procedure to schedule his next court date. Nash is set to be arraigned on the murder indictment in state Supreme Court on March 14, according to the Manhattan District Attorney's Office.
For now, Nash is being held at the prison ward at Bellevue Hospital Center.
Nash, who is homeless, has a criminal record and was on supervised release for several open cases, prosecutors have said.
The man accused of the brutal murder of a woman in her apartment has an extensive criminal record and was on supervised release for several other crimes.
A landlord blasted Manhattan District Attorney Alvin Bragg after a man allegedly killed a woman inside her apartment.