Jury selection for the trial of the children's mother, Abneris Santiago, is scheduled for Tuesday. She faces three counts of injury to a child.
Court officials say opening statements for his trial will then begin Wednesday, with her trial to follow.
Police found the three children shut inside a hotel bathroom last summer and believe they were there for at least nine months. Officials say the 11-year-old girl and her 10- and 5-year-old half brothers were emaciated and filthy.