The Delta Democrat Times reports bond was set by City Judge Michael Prewitt during Robinson's initial court appearance Thursday.
Authorities say they found the child's body in an oven at his mother's apartment in Greenville.
Washington County Coroner Methel Johnson told the Associated Press she found evidence of a trauma that is inconsistent with the inside of the oven, and that it's unclear whether the child was already dead when he was placed in the oven.
Johnson said an autopsy would likely be completed Friday.
It wasn't immediately clear if Robinson has a lawyer.