Andres Rivera, 24, turned himself over to police Tuesday afternoon.
He was arrested for three felony counts of willful cruelty to a child.
Rivera's sister, the mother of the children, says she left her kids in Rivera's care while she was hospitalized.
Last Thursday, police found the three kids, believed to be ages one, two and three, abandoned in a filthy apartment.
The kids are now with their biological father.
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