Charles Bellamy, 25, was wanted on a warrant for injury to a child/serious bodily injury. He also faces probation revocation on an assault count, plus several traffic warrants.
Investigators said Bellamy had been watching Jazmine Howard on March 15 when she suffered severe leg burns, allegedly while taking a bath.
An emergency call Tuesday night about a toddler's possible drowning led to the search of Bellamy's house in an investigation into how the girl died.
He is currently being held in the city jail without bond.