The child's mother, Lynette Monique Gasper-Washington, and her boyfriend, Rajfik Keating, have been charged with aggravated assault injury to a child.
Bond for each was set at $500,000.
Firefighters were called to an apartment complex on Creek Bend Drive around 10 p.m. Saturday.
The child, who was found unresponsive, was taken to Southwest Memorial Hermann Hospital with CPR in progress.
Officials said the boy appeared to have suffered multiple injuries.
The child's caretakers, Lynette Monique Gasper and Rajfik Dominique Keating, are currently in custody and facing aggravated assault injury to a child charges.
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